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Finding the Third Proportional to 871,854 and 1,847,424

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Solution

The third proportional to 871,854 and 1,847,424 is: 3,914,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,854 : 1,847,424 = 1,847,424 : x
  2. Step 2: Convert to fraction form
    871,854/1,847,424 = 1,847,424/x
  3. Step 3: Cross multiply
    871,854x = 1,847,424 × 1,847,424
  4. Step 4: Simplify right side
    871,854x = 3,412,975,435,776
  5. Step 5: Solve for x
    x = 3,412,975,435,776/871,854
  6. Step 6: Final answer
    x = 3,914,618.08

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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.