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Finding the Third Proportional to 539,351 and 898,811

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Solution

The third proportional to 539,351 and 898,811 is: 1,497,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,351 : 898,811 = 898,811 : x
  2. Step 2: Convert to fraction form
    539,351/898,811 = 898,811/x
  3. Step 3: Cross multiply
    539,351x = 898,811 × 898,811
  4. Step 4: Simplify right side
    539,351x = 807,861,213,721
  5. Step 5: Solve for x
    x = 807,861,213,721/539,351
  6. Step 6: Final answer
    x = 1,497,839.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.