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Finding the Third Proportional to 636,876 and 929,061

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Solution

The third proportional to 636,876 and 929,061 is: 1,355,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,876 : 929,061 = 929,061 : x
  2. Step 2: Convert to fraction form
    636,876/929,061 = 929,061/x
  3. Step 3: Cross multiply
    636,876x = 929,061 × 929,061
  4. Step 4: Simplify right side
    636,876x = 863,154,341,721
  5. Step 5: Solve for x
    x = 863,154,341,721/636,876
  6. Step 6: Final answer
    x = 1,355,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.