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Finding the Third Proportional to 426,081 and 928,431

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Solution

The third proportional to 426,081 and 928,431 is: 2,023,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,081 : 928,431 = 928,431 : x
  2. Step 2: Convert to fraction form
    426,081/928,431 = 928,431/x
  3. Step 3: Cross multiply
    426,081x = 928,431 × 928,431
  4. Step 4: Simplify right side
    426,081x = 861,984,121,761
  5. Step 5: Solve for x
    x = 861,984,121,761/426,081
  6. Step 6: Final answer
    x = 2,023,052.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.