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Finding the Third Proportional to 871,828 and 1,177,545

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Solution

The third proportional to 871,828 and 1,177,545 is: 1,590,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,828 : 1,177,545 = 1,177,545 : x
  2. Step 2: Convert to fraction form
    871,828/1,177,545 = 1,177,545/x
  3. Step 3: Cross multiply
    871,828x = 1,177,545 × 1,177,545
  4. Step 4: Simplify right side
    871,828x = 1,386,612,227,025
  5. Step 5: Solve for x
    x = 1,386,612,227,025/871,828
  6. Step 6: Final answer
    x = 1,590,465.35

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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.