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Finding the Third Proportional to 871,858 and 1,847,432

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Solution

The third proportional to 871,858 and 1,847,432 is: 3,914,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,858 : 1,847,432 = 1,847,432 : x
  2. Step 2: Convert to fraction form
    871,858/1,847,432 = 1,847,432/x
  3. Step 3: Cross multiply
    871,858x = 1,847,432 × 1,847,432
  4. Step 4: Simplify right side
    871,858x = 3,413,004,994,624
  5. Step 5: Solve for x
    x = 3,413,004,994,624/871,858
  6. Step 6: Final answer
    x = 3,914,634.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.