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Finding the Third Proportional to 3,914,506 and 5,512,514

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Solution

The third proportional to 3,914,506 and 5,512,514 is: 7,762,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,506 : 5,512,514 = 5,512,514 : x
  2. Step 2: Convert to fraction form
    3,914,506/5,512,514 = 5,512,514/x
  3. Step 3: Cross multiply
    3,914,506x = 5,512,514 × 5,512,514
  4. Step 4: Simplify right side
    3,914,506x = 30,387,810,600,196
  5. Step 5: Solve for x
    x = 30,387,810,600,196/3,914,506
  6. Step 6: Final answer
    x = 7,762,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.