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Finding the Third Proportional to 1,472,364 and 3,114,490.50

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Solution

The third proportional to 1,472,364 and 3,114,490.50 is: 6,588,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,364 : 3,114,490.50 = 3,114,490.50 : x
  2. Step 2: Convert to fraction form
    1,472,364/3,114,490.50 = 3,114,490.50/x
  3. Step 3: Cross multiply
    1,472,364x = 3,114,490.50 × 3,114,490.50
  4. Step 4: Simplify right side
    1,472,364x = 9,700,051,074,590.25
  5. Step 5: Solve for x
    x = 9,700,051,074,590.25/1,472,364
  6. Step 6: Final answer
    x = 6,588,079.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.