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Finding the Third Proportional to 602,151 and 886,593

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Solution

The third proportional to 602,151 and 886,593 is: 1,305,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,151 : 886,593 = 886,593 : x
  2. Step 2: Convert to fraction form
    602,151/886,593 = 886,593/x
  3. Step 3: Cross multiply
    602,151x = 886,593 × 886,593
  4. Step 4: Simplify right side
    602,151x = 786,047,147,649
  5. Step 5: Solve for x
    x = 786,047,147,649/602,151
  6. Step 6: Final answer
    x = 1,305,398.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.