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Finding the Third Proportional to 491,724 and 1,062,180

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Solution

The third proportional to 491,724 and 1,062,180 is: 2,294,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,724 : 1,062,180 = 1,062,180 : x
  2. Step 2: Convert to fraction form
    491,724/1,062,180 = 1,062,180/x
  3. Step 3: Cross multiply
    491,724x = 1,062,180 × 1,062,180
  4. Step 4: Simplify right side
    491,724x = 1,128,226,352,400
  5. Step 5: Solve for x
    x = 1,128,226,352,400/491,724
  6. Step 6: Final answer
    x = 2,294,430.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.