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Finding the Third Proportional to 587,961 and 1,287,965

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Solution

The third proportional to 587,961 and 1,287,965 is: 2,821,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,961 : 1,287,965 = 1,287,965 : x
  2. Step 2: Convert to fraction form
    587,961/1,287,965 = 1,287,965/x
  3. Step 3: Cross multiply
    587,961x = 1,287,965 × 1,287,965
  4. Step 4: Simplify right side
    587,961x = 1,658,853,841,225
  5. Step 5: Solve for x
    x = 1,658,853,841,225/587,961
  6. Step 6: Final answer
    x = 2,821,367.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.