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Finding the Third Proportional to 566,147 and 868,877

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Solution

The third proportional to 566,147 and 868,877 is: 1,333,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,147 : 868,877 = 868,877 : x
  2. Step 2: Convert to fraction form
    566,147/868,877 = 868,877/x
  3. Step 3: Cross multiply
    566,147x = 868,877 × 868,877
  4. Step 4: Simplify right side
    566,147x = 754,947,241,129
  5. Step 5: Solve for x
    x = 754,947,241,129/566,147
  6. Step 6: Final answer
    x = 1,333,482.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.