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Finding the Third Proportional to 648,924 and 868,026

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Solution

The third proportional to 648,924 and 868,026 is: 1,161,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,924 : 868,026 = 868,026 : x
  2. Step 2: Convert to fraction form
    648,924/868,026 = 868,026/x
  3. Step 3: Cross multiply
    648,924x = 868,026 × 868,026
  4. Step 4: Simplify right side
    648,924x = 753,469,136,676
  5. Step 5: Solve for x
    x = 753,469,136,676/648,924
  6. Step 6: Final answer
    x = 1,161,105.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.