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Finding the Third Proportional to 3,204,160 and 4,959,651

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Solution

The third proportional to 3,204,160 and 4,959,651 is: 7,676,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,160 : 4,959,651 = 4,959,651 : x
  2. Step 2: Convert to fraction form
    3,204,160/4,959,651 = 4,959,651/x
  3. Step 3: Cross multiply
    3,204,160x = 4,959,651 × 4,959,651
  4. Step 4: Simplify right side
    3,204,160x = 24,598,138,041,801
  5. Step 5: Solve for x
    x = 24,598,138,041,801/3,204,160
  6. Step 6: Final answer
    x = 7,676,938.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.