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Finding the Third Proportional to 476,532 and 1,047,832

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Solution

The third proportional to 476,532 and 1,047,832 is: 2,304,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,532 : 1,047,832 = 1,047,832 : x
  2. Step 2: Convert to fraction form
    476,532/1,047,832 = 1,047,832/x
  3. Step 3: Cross multiply
    476,532x = 1,047,832 × 1,047,832
  4. Step 4: Simplify right side
    476,532x = 1,097,951,900,224
  5. Step 5: Solve for x
    x = 1,097,951,900,224/476,532
  6. Step 6: Final answer
    x = 2,304,046.53

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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.