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Finding the Third Proportional to 1,542,414 and 3,442,524

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Solution

The third proportional to 1,542,414 and 3,442,524 is: 7,683,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,414 : 3,442,524 = 3,442,524 : x
  2. Step 2: Convert to fraction form
    1,542,414/3,442,524 = 3,442,524/x
  3. Step 3: Cross multiply
    1,542,414x = 3,442,524 × 3,442,524
  4. Step 4: Simplify right side
    1,542,414x = 11,850,971,490,576
  5. Step 5: Solve for x
    x = 11,850,971,490,576/1,542,414
  6. Step 6: Final answer
    x = 7,683,392.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.