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Finding the Third Proportional to 871,120 and 1,311,748

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Solution

The third proportional to 871,120 and 1,311,748 is: 1,975,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,120 : 1,311,748 = 1,311,748 : x
  2. Step 2: Convert to fraction form
    871,120/1,311,748 = 1,311,748/x
  3. Step 3: Cross multiply
    871,120x = 1,311,748 × 1,311,748
  4. Step 4: Simplify right side
    871,120x = 1,720,682,815,504
  5. Step 5: Solve for x
    x = 1,720,682,815,504/871,120
  6. Step 6: Final answer
    x = 1,975,253.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.