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Finding the Third Proportional to 2,131,261 and 4,565,762

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Solution

The third proportional to 2,131,261 and 4,565,762 is: 9,781,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,261 : 4,565,762 = 4,565,762 : x
  2. Step 2: Convert to fraction form
    2,131,261/4,565,762 = 4,565,762/x
  3. Step 3: Cross multiply
    2,131,261x = 4,565,762 × 4,565,762
  4. Step 4: Simplify right side
    2,131,261x = 20,846,182,640,644
  5. Step 5: Solve for x
    x = 20,846,182,640,644/2,131,261
  6. Step 6: Final answer
    x = 9,781,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.