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Finding the Third Proportional to 657,632 and 891,189

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Solution

The third proportional to 657,632 and 891,189 is: 1,207,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,632 : 891,189 = 891,189 : x
  2. Step 2: Convert to fraction form
    657,632/891,189 = 891,189/x
  3. Step 3: Cross multiply
    657,632x = 891,189 × 891,189
  4. Step 4: Simplify right side
    657,632x = 794,217,833,721
  5. Step 5: Solve for x
    x = 794,217,833,721/657,632
  6. Step 6: Final answer
    x = 1,207,693.41

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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.