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Finding the Third Proportional to 871,826 and 1,177,542

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Solution

The third proportional to 871,826 and 1,177,542 is: 1,590,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,826 : 1,177,542 = 1,177,542 : x
  2. Step 2: Convert to fraction form
    871,826/1,177,542 = 1,177,542/x
  3. Step 3: Cross multiply
    871,826x = 1,177,542 × 1,177,542
  4. Step 4: Simplify right side
    871,826x = 1,386,605,161,764
  5. Step 5: Solve for x
    x = 1,386,605,161,764/871,826
  6. Step 6: Final answer
    x = 1,590,460.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.