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Finding the Third Proportional to 724,864 and 1,537,424

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Solution

The third proportional to 724,864 and 1,537,424 is: 3,260,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,864 : 1,537,424 = 1,537,424 : x
  2. Step 2: Convert to fraction form
    724,864/1,537,424 = 1,537,424/x
  3. Step 3: Cross multiply
    724,864x = 1,537,424 × 1,537,424
  4. Step 4: Simplify right side
    724,864x = 2,363,672,555,776
  5. Step 5: Solve for x
    x = 2,363,672,555,776/724,864
  6. Step 6: Final answer
    x = 3,260,849.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.