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Finding the Third Proportional to 476,832 and 1,042,242

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Solution

The third proportional to 476,832 and 1,042,242 is: 2,278,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,832 : 1,042,242 = 1,042,242 : x
  2. Step 2: Convert to fraction form
    476,832/1,042,242 = 1,042,242/x
  3. Step 3: Cross multiply
    476,832x = 1,042,242 × 1,042,242
  4. Step 4: Simplify right side
    476,832x = 1,086,268,386,564
  5. Step 5: Solve for x
    x = 1,086,268,386,564/476,832
  6. Step 6: Final answer
    x = 2,278,094.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.