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Finding the Third Proportional to 785,766 and 1,715,463

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Solution

The third proportional to 785,766 and 1,715,463 is: 3,745,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,766 : 1,715,463 = 1,715,463 : x
  2. Step 2: Convert to fraction form
    785,766/1,715,463 = 1,715,463/x
  3. Step 3: Cross multiply
    785,766x = 1,715,463 × 1,715,463
  4. Step 4: Simplify right side
    785,766x = 2,942,813,304,369
  5. Step 5: Solve for x
    x = 2,942,813,304,369/785,766
  6. Step 6: Final answer
    x = 3,745,152.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.