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Finding the Third Proportional to 560,157 and 861,001

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Solution

The third proportional to 560,157 and 861,001 is: 1,323,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,157 : 861,001 = 861,001 : x
  2. Step 2: Convert to fraction form
    560,157/861,001 = 861,001/x
  3. Step 3: Cross multiply
    560,157x = 861,001 × 861,001
  4. Step 4: Simplify right side
    560,157x = 741,322,722,001
  5. Step 5: Solve for x
    x = 741,322,722,001/560,157
  6. Step 6: Final answer
    x = 1,323,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.