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Finding the Third Proportional to 782,019 and 1,713,505.50

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Solution

The third proportional to 782,019 and 1,713,505.50 is: 3,754,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,019 : 1,713,505.50 = 1,713,505.50 : x
  2. Step 2: Convert to fraction form
    782,019/1,713,505.50 = 1,713,505.50/x
  3. Step 3: Cross multiply
    782,019x = 1,713,505.50 × 1,713,505.50
  4. Step 4: Simplify right side
    782,019x = 2,936,101,098,530.25
  5. Step 5: Solve for x
    x = 2,936,101,098,530.25/782,019
  6. Step 6: Final answer
    x = 3,754,513.76

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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.