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Finding the Third Proportional to 425,412 and 928,100

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Solution

The third proportional to 425,412 and 928,100 is: 2,024,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,412 : 928,100 = 928,100 : x
  2. Step 2: Convert to fraction form
    425,412/928,100 = 928,100/x
  3. Step 3: Cross multiply
    425,412x = 928,100 × 928,100
  4. Step 4: Simplify right side
    425,412x = 861,369,610,000
  5. Step 5: Solve for x
    x = 861,369,610,000/425,412
  6. Step 6: Final answer
    x = 2,024,789.17

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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.