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Finding the Third Proportional to 641,877 and 897,339

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Solution

The third proportional to 641,877 and 897,339 is: 1,254,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,877 : 897,339 = 897,339 : x
  2. Step 2: Convert to fraction form
    641,877/897,339 = 897,339/x
  3. Step 3: Cross multiply
    641,877x = 897,339 × 897,339
  4. Step 4: Simplify right side
    641,877x = 805,217,280,921
  5. Step 5: Solve for x
    x = 805,217,280,921/641,877
  6. Step 6: Final answer
    x = 1,254,472.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.