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Finding the Third Proportional to 724,227 and 1,593,498

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Solution

The third proportional to 724,227 and 1,593,498 is: 3,506,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,227 : 1,593,498 = 1,593,498 : x
  2. Step 2: Convert to fraction form
    724,227/1,593,498 = 1,593,498/x
  3. Step 3: Cross multiply
    724,227x = 1,593,498 × 1,593,498
  4. Step 4: Simplify right side
    724,227x = 2,539,235,876,004
  5. Step 5: Solve for x
    x = 2,539,235,876,004/724,227
  6. Step 6: Final answer
    x = 3,506,132.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.