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Finding the Third Proportional to 476,540 and 1,047,848

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Solution

The third proportional to 476,540 and 1,047,848 is: 2,304,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,540 : 1,047,848 = 1,047,848 : x
  2. Step 2: Convert to fraction form
    476,540/1,047,848 = 1,047,848/x
  3. Step 3: Cross multiply
    476,540x = 1,047,848 × 1,047,848
  4. Step 4: Simplify right side
    476,540x = 1,097,985,431,104
  5. Step 5: Solve for x
    x = 1,097,985,431,104/476,540
  6. Step 6: Final answer
    x = 2,304,078.21

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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.