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Finding the Third Proportional to 2,924,221.50 and 6,413,418

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Solution

The third proportional to 2,924,221.50 and 6,413,418 is: 14,065,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,221.50 : 6,413,418 = 6,413,418 : x
  2. Step 2: Convert to fraction form
    2,924,221.50/6,413,418 = 6,413,418/x
  3. Step 3: Cross multiply
    2,924,221.50x = 6,413,418 × 6,413,418
  4. Step 4: Simplify right side
    2,924,221.50x = 41,131,930,442,724
  5. Step 5: Solve for x
    x = 41,131,930,442,724/2,924,221.50
  6. Step 6: Final answer
    x = 14,065,942.15

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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.