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Finding the Third Proportional to 871,344 and 1,887,432

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Solution

The third proportional to 871,344 and 1,887,432 is: 4,088,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,344 : 1,887,432 = 1,887,432 : x
  2. Step 2: Convert to fraction form
    871,344/1,887,432 = 1,887,432/x
  3. Step 3: Cross multiply
    871,344x = 1,887,432 × 1,887,432
  4. Step 4: Simplify right side
    871,344x = 3,562,399,554,624
  5. Step 5: Solve for x
    x = 3,562,399,554,624/871,344
  6. Step 6: Final answer
    x = 4,088,396.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.