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Finding the Third Proportional to 486,538 and 1,068,980

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Solution

The third proportional to 486,538 and 1,068,980 is: 2,348,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,538 : 1,068,980 = 1,068,980 : x
  2. Step 2: Convert to fraction form
    486,538/1,068,980 = 1,068,980/x
  3. Step 3: Cross multiply
    486,538x = 1,068,980 × 1,068,980
  4. Step 4: Simplify right side
    486,538x = 1,142,718,240,400
  5. Step 5: Solve for x
    x = 1,142,718,240,400/486,538
  6. Step 6: Final answer
    x = 2,348,672.13

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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.