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Finding the Third Proportional to 1,836,657 and 3,972,501

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Solution

The third proportional to 1,836,657 and 3,972,501 is: 8,592,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,657 : 3,972,501 = 3,972,501 : x
  2. Step 2: Convert to fraction form
    1,836,657/3,972,501 = 3,972,501/x
  3. Step 3: Cross multiply
    1,836,657x = 3,972,501 × 3,972,501
  4. Step 4: Simplify right side
    1,836,657x = 15,780,764,195,001
  5. Step 5: Solve for x
    x = 15,780,764,195,001/1,836,657
  6. Step 6: Final answer
    x = 8,592,112.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.