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Finding the Third Proportional to 1,218,691.50 and 2,640,774

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Solution

The third proportional to 1,218,691.50 and 2,640,774 is: 5,722,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,691.50 : 2,640,774 = 2,640,774 : x
  2. Step 2: Convert to fraction form
    1,218,691.50/2,640,774 = 2,640,774/x
  3. Step 3: Cross multiply
    1,218,691.50x = 2,640,774 × 2,640,774
  4. Step 4: Simplify right side
    1,218,691.50x = 6,973,687,319,076
  5. Step 5: Solve for x
    x = 6,973,687,319,076/1,218,691.50
  6. Step 6: Final answer
    x = 5,722,274.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.