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Finding the Third Proportional to 725,473 and 1,569,143

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Solution

The third proportional to 725,473 and 1,569,143 is: 3,393,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,473 : 1,569,143 = 1,569,143 : x
  2. Step 2: Convert to fraction form
    725,473/1,569,143 = 1,569,143/x
  3. Step 3: Cross multiply
    725,473x = 1,569,143 × 1,569,143
  4. Step 4: Simplify right side
    725,473x = 2,462,209,754,449
  5. Step 5: Solve for x
    x = 2,462,209,754,449/725,473
  6. Step 6: Final answer
    x = 3,393,937.13

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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.