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Finding the Third Proportional to 782,063 and 1,713,604

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Solution

The third proportional to 782,063 and 1,713,604 is: 3,754,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,063 : 1,713,604 = 1,713,604 : x
  2. Step 2: Convert to fraction form
    782,063/1,713,604 = 1,713,604/x
  3. Step 3: Cross multiply
    782,063x = 1,713,604 × 1,713,604
  4. Step 4: Simplify right side
    782,063x = 2,936,438,668,816
  5. Step 5: Solve for x
    x = 2,936,438,668,816/782,063
  6. Step 6: Final answer
    x = 3,754,734.17

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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.