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Finding the Third Proportional to 461,112 and 1,000,992

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Solution

The third proportional to 461,112 and 1,000,992 is: 2,172,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,112 : 1,000,992 = 1,000,992 : x
  2. Step 2: Convert to fraction form
    461,112/1,000,992 = 1,000,992/x
  3. Step 3: Cross multiply
    461,112x = 1,000,992 × 1,000,992
  4. Step 4: Simplify right side
    461,112x = 1,001,984,984,064
  5. Step 5: Solve for x
    x = 1,001,984,984,064/461,112
  6. Step 6: Final answer
    x = 2,172,975.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.