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Finding the Third Proportional to 688,902 and 1,086,165

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Solution

The third proportional to 688,902 and 1,086,165 is: 1,712,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,902 : 1,086,165 = 1,086,165 : x
  2. Step 2: Convert to fraction form
    688,902/1,086,165 = 1,086,165/x
  3. Step 3: Cross multiply
    688,902x = 1,086,165 × 1,086,165
  4. Step 4: Simplify right side
    688,902x = 1,179,754,407,225
  5. Step 5: Solve for x
    x = 1,179,754,407,225/688,902
  6. Step 6: Final answer
    x = 1,712,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.