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Finding the Third Proportional to 996,846 and 1,546,422

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Solution

The third proportional to 996,846 and 1,546,422 is: 2,398,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,846 : 1,546,422 = 1,546,422 : x
  2. Step 2: Convert to fraction form
    996,846/1,546,422 = 1,546,422/x
  3. Step 3: Cross multiply
    996,846x = 1,546,422 × 1,546,422
  4. Step 4: Simplify right side
    996,846x = 2,391,421,002,084
  5. Step 5: Solve for x
    x = 2,391,421,002,084/996,846
  6. Step 6: Final answer
    x = 2,398,987.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.