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Finding the Third Proportional to 468,032 and 1,010,782

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Solution

The third proportional to 468,032 and 1,010,782 is: 2,182,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032 : 1,010,782 = 1,010,782 : x
  2. Step 2: Convert to fraction form
    468,032/1,010,782 = 1,010,782/x
  3. Step 3: Cross multiply
    468,032x = 1,010,782 × 1,010,782
  4. Step 4: Simplify right side
    468,032x = 1,021,680,251,524
  5. Step 5: Solve for x
    x = 1,021,680,251,524/468,032
  6. Step 6: Final answer
    x = 2,182,928.20

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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.