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Finding the Third Proportional to 2,144,691 and 4,714,443

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Solution

The third proportional to 2,144,691 and 4,714,443 is: 10,363,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,691 : 4,714,443 = 4,714,443 : x
  2. Step 2: Convert to fraction form
    2,144,691/4,714,443 = 4,714,443/x
  3. Step 3: Cross multiply
    2,144,691x = 4,714,443 × 4,714,443
  4. Step 4: Simplify right side
    2,144,691x = 22,225,972,800,249
  5. Step 5: Solve for x
    x = 22,225,972,800,249/2,144,691
  6. Step 6: Final answer
    x = 10,363,251.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.