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Finding the Third Proportional to 813,730 and 1,782,472

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Solution

The third proportional to 813,730 and 1,782,472 is: 3,904,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,730 : 1,782,472 = 1,782,472 : x
  2. Step 2: Convert to fraction form
    813,730/1,782,472 = 1,782,472/x
  3. Step 3: Cross multiply
    813,730x = 1,782,472 × 1,782,472
  4. Step 4: Simplify right side
    813,730x = 3,177,206,430,784
  5. Step 5: Solve for x
    x = 3,177,206,430,784/813,730
  6. Step 6: Final answer
    x = 3,904,497.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.