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Finding the Third Proportional to 656,867 and 997,637

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Solution

The third proportional to 656,867 and 997,637 is: 1,515,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,867 : 997,637 = 997,637 : x
  2. Step 2: Convert to fraction form
    656,867/997,637 = 997,637/x
  3. Step 3: Cross multiply
    656,867x = 997,637 × 997,637
  4. Step 4: Simplify right side
    656,867x = 995,279,583,769
  5. Step 5: Solve for x
    x = 995,279,583,769/656,867
  6. Step 6: Final answer
    x = 1,515,191.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.