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Finding the Third Proportional to 637,898 and 866,703

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Solution

The third proportional to 637,898 and 866,703 is: 1,177,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,898 : 866,703 = 866,703 : x
  2. Step 2: Convert to fraction form
    637,898/866,703 = 866,703/x
  3. Step 3: Cross multiply
    637,898x = 866,703 × 866,703
  4. Step 4: Simplify right side
    637,898x = 751,174,090,209
  5. Step 5: Solve for x
    x = 751,174,090,209/637,898
  6. Step 6: Final answer
    x = 1,177,577.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.