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Finding the Third Proportional to 491,974 and 1,061,464

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Solution

The third proportional to 491,974 and 1,061,464 is: 2,290,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,974 : 1,061,464 = 1,061,464 : x
  2. Step 2: Convert to fraction form
    491,974/1,061,464 = 1,061,464/x
  3. Step 3: Cross multiply
    491,974x = 1,061,464 × 1,061,464
  4. Step 4: Simplify right side
    491,974x = 1,126,705,823,296
  5. Step 5: Solve for x
    x = 1,126,705,823,296/491,974
  6. Step 6: Final answer
    x = 2,290,173.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.