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Finding the Third Proportional to 1,587,768.75 and 3,747,562.88

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Solution

The third proportional to 1,587,768.75 and 3,747,562.88 is: 8,845,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,768.75 : 3,747,562.88 = 3,747,562.88 : x
  2. Step 2: Convert to fraction form
    1,587,768.75/3,747,562.88 = 3,747,562.88/x
  3. Step 3: Cross multiply
    1,587,768.75x = 3,747,562.88 × 3,747,562.88
  4. Step 4: Simplify right side
    1,587,768.75x = 14,044,227,502,078.27
  5. Step 5: Solve for x
    x = 14,044,227,502,078.27/1,587,768.75
  6. Step 6: Final answer
    x = 8,845,260.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.