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Finding the Third Proportional to 472,464 and 1,036,782

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Solution

The third proportional to 472,464 and 1,036,782 is: 2,275,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,464 : 1,036,782 = 1,036,782 : x
  2. Step 2: Convert to fraction form
    472,464/1,036,782 = 1,036,782/x
  3. Step 3: Cross multiply
    472,464x = 1,036,782 × 1,036,782
  4. Step 4: Simplify right side
    472,464x = 1,074,916,915,524
  5. Step 5: Solve for x
    x = 1,074,916,915,524/472,464
  6. Step 6: Final answer
    x = 2,275,129.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.