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Finding the Third Proportional to 1,480,847 and 3,204,567

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Solution

The third proportional to 1,480,847 and 3,204,567 is: 6,934,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,847 : 3,204,567 = 3,204,567 : x
  2. Step 2: Convert to fraction form
    1,480,847/3,204,567 = 3,204,567/x
  3. Step 3: Cross multiply
    1,480,847x = 3,204,567 × 3,204,567
  4. Step 4: Simplify right side
    1,480,847x = 10,269,249,657,489
  5. Step 5: Solve for x
    x = 10,269,249,657,489/1,480,847
  6. Step 6: Final answer
    x = 6,934,713.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.