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Finding the Third Proportional to 3,490,418 and 5,120,703

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Solution

The third proportional to 3,490,418 and 5,120,703 is: 7,512,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490,418 : 5,120,703 = 5,120,703 : x
  2. Step 2: Convert to fraction form
    3,490,418/5,120,703 = 5,120,703/x
  3. Step 3: Cross multiply
    3,490,418x = 5,120,703 × 5,120,703
  4. Step 4: Simplify right side
    3,490,418x = 26,221,599,214,209
  5. Step 5: Solve for x
    x = 26,221,599,214,209/3,490,418
  6. Step 6: Final answer
    x = 7,512,452.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.