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Finding the Third Proportional to 476,538 and 1,047,846

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Solution

The third proportional to 476,538 and 1,047,846 is: 2,304,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,538 : 1,047,846 = 1,047,846 : x
  2. Step 2: Convert to fraction form
    476,538/1,047,846 = 1,047,846/x
  3. Step 3: Cross multiply
    476,538x = 1,047,846 × 1,047,846
  4. Step 4: Simplify right side
    476,538x = 1,097,981,239,716
  5. Step 5: Solve for x
    x = 1,097,981,239,716/476,538
  6. Step 6: Final answer
    x = 2,304,079.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.