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Finding the Third Proportional to 1,181,776 and 2,577,374

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Solution

The third proportional to 1,181,776 and 2,577,374 is: 5,621,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,776 : 2,577,374 = 2,577,374 : x
  2. Step 2: Convert to fraction form
    1,181,776/2,577,374 = 2,577,374/x
  3. Step 3: Cross multiply
    1,181,776x = 2,577,374 × 2,577,374
  4. Step 4: Simplify right side
    1,181,776x = 6,642,856,735,876
  5. Step 5: Solve for x
    x = 6,642,856,735,876/1,181,776
  6. Step 6: Final answer
    x = 5,621,079.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.