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Finding the Third Proportional to 3,489,899 and 5,238,541

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Solution

The third proportional to 3,489,899 and 5,238,541 is: 7,863,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,899 : 5,238,541 = 5,238,541 : x
  2. Step 2: Convert to fraction form
    3,489,899/5,238,541 = 5,238,541/x
  3. Step 3: Cross multiply
    3,489,899x = 5,238,541 × 5,238,541
  4. Step 4: Simplify right side
    3,489,899x = 27,442,311,808,681
  5. Step 5: Solve for x
    x = 27,442,311,808,681/3,489,899
  6. Step 6: Final answer
    x = 7,863,354.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.