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Finding the Third Proportional to 582,469,542 and 1,251,386,820

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Solution

The third proportional to 582,469,542 and 1,251,386,820 is: 2,688,499,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,469,542 : 1,251,386,820 = 1,251,386,820 : x
  2. Step 2: Convert to fraction form
    582,469,542/1,251,386,820 = 1,251,386,820/x
  3. Step 3: Cross multiply
    582,469,542x = 1,251,386,820 × 1,251,386,820
  4. Step 4: Simplify right side
    582,469,542x = 1,565,968,973,269,712,384
  5. Step 5: Solve for x
    x = 1,565,968,973,269,712,384/582,469,542
  6. Step 6: Final answer
    x = 2,688,499,329.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.