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Finding the Third Proportional to 474,414 and 1,033,061

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Solution

The third proportional to 474,414 and 1,033,061 is: 2,249,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,414 : 1,033,061 = 1,033,061 : x
  2. Step 2: Convert to fraction form
    474,414/1,033,061 = 1,033,061/x
  3. Step 3: Cross multiply
    474,414x = 1,033,061 × 1,033,061
  4. Step 4: Simplify right side
    474,414x = 1,067,215,029,721
  5. Step 5: Solve for x
    x = 1,067,215,029,721/474,414
  6. Step 6: Final answer
    x = 2,249,543.71

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