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Finding the Third Proportional to 732,663 and 1,583,787.38

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Solution

The third proportional to 732,663 and 1,583,787.38 is: 3,423,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,663 : 1,583,787.38 = 1,583,787.38 : x
  2. Step 2: Convert to fraction form
    732,663/1,583,787.38 = 1,583,787.38/x
  3. Step 3: Cross multiply
    732,663x = 1,583,787.38 × 1,583,787.38
  4. Step 4: Simplify right side
    732,663x = 2,508,382,449,209.39
  5. Step 5: Solve for x
    x = 2,508,382,449,209.39/732,663
  6. Step 6: Final answer
    x = 3,423,651.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.