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Finding the Third Proportional to 871,704 and 1,320,597

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Solution

The third proportional to 871,704 and 1,320,597 is: 2,000,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,704 : 1,320,597 = 1,320,597 : x
  2. Step 2: Convert to fraction form
    871,704/1,320,597 = 1,320,597/x
  3. Step 3: Cross multiply
    871,704x = 1,320,597 × 1,320,597
  4. Step 4: Simplify right side
    871,704x = 1,743,976,436,409
  5. Step 5: Solve for x
    x = 1,743,976,436,409/871,704
  6. Step 6: Final answer
    x = 2,000,652.10

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Why These Related Problems?

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