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Finding the Third Proportional to 871,012 and 1,368,732

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Solution

The third proportional to 871,012 and 1,368,732 is: 2,150,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,012 : 1,368,732 = 1,368,732 : x
  2. Step 2: Convert to fraction form
    871,012/1,368,732 = 1,368,732/x
  3. Step 3: Cross multiply
    871,012x = 1,368,732 × 1,368,732
  4. Step 4: Simplify right side
    871,012x = 1,873,427,287,824
  5. Step 5: Solve for x
    x = 1,873,427,287,824/871,012
  6. Step 6: Final answer
    x = 2,150,862.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.