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Finding the Third Proportional to 425,918 and 910,932

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Solution

The third proportional to 425,918 and 910,932 is: 1,948,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,918 : 910,932 = 910,932 : x
  2. Step 2: Convert to fraction form
    425,918/910,932 = 910,932/x
  3. Step 3: Cross multiply
    425,918x = 910,932 × 910,932
  4. Step 4: Simplify right side
    425,918x = 829,797,108,624
  5. Step 5: Solve for x
    x = 829,797,108,624/425,918
  6. Step 6: Final answer
    x = 1,948,255.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.