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Finding the Third Proportional to 479,638 and 1,036,124

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Solution

The third proportional to 479,638 and 1,036,124 is: 2,238,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,638 : 1,036,124 = 1,036,124 : x
  2. Step 2: Convert to fraction form
    479,638/1,036,124 = 1,036,124/x
  3. Step 3: Cross multiply
    479,638x = 1,036,124 × 1,036,124
  4. Step 4: Simplify right side
    479,638x = 1,073,552,943,376
  5. Step 5: Solve for x
    x = 1,073,552,943,376/479,638
  6. Step 6: Final answer
    x = 2,238,256.65

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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.