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Finding the Third Proportional to 861,696 and 1,315,872

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Solution

The third proportional to 861,696 and 1,315,872 is: 2,009,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,696 : 1,315,872 = 1,315,872 : x
  2. Step 2: Convert to fraction form
    861,696/1,315,872 = 1,315,872/x
  3. Step 3: Cross multiply
    861,696x = 1,315,872 × 1,315,872
  4. Step 4: Simplify right side
    861,696x = 1,731,519,120,384
  5. Step 5: Solve for x
    x = 1,731,519,120,384/861,696
  6. Step 6: Final answer
    x = 2,009,431.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.