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Finding the Third Proportional to 904,826,498,290 and 1,349,393,197,728

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Solution

The third proportional to 904,826,498,290 and 1,349,393,197,728 is: 2,012,388,016,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,826,498,290 : 1,349,393,197,728 = 1,349,393,197,728 : x
  2. Step 2: Convert to fraction form
    904,826,498,290/1,349,393,197,728 = 1,349,393,197,728/x
  3. Step 3: Cross multiply
    904,826,498,290x = 1,349,393,197,728 × 1,349,393,197,728
  4. Step 4: Simplify right side
    904,826,498,290x = 1,820,862,002,074,597,311,119,360
  5. Step 5: Solve for x
    x = 1,820,862,002,074,597,311,119,360/904,826,498,290
  6. Step 6: Final answer
    x = 2,012,388,016,394.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.