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Finding the Third Proportional to 731,526 and 1,564,446

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Solution

The third proportional to 731,526 and 1,564,446 is: 3,345,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,526 : 1,564,446 = 1,564,446 : x
  2. Step 2: Convert to fraction form
    731,526/1,564,446 = 1,564,446/x
  3. Step 3: Cross multiply
    731,526x = 1,564,446 × 1,564,446
  4. Step 4: Simplify right side
    731,526x = 2,447,491,286,916
  5. Step 5: Solve for x
    x = 2,447,491,286,916/731,526
  6. Step 6: Final answer
    x = 3,345,733.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.