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Finding the Third Proportional to 721,142 and 1,538,805

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Solution

The third proportional to 721,142 and 1,538,805 is: 3,283,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,142 : 1,538,805 = 1,538,805 : x
  2. Step 2: Convert to fraction form
    721,142/1,538,805 = 1,538,805/x
  3. Step 3: Cross multiply
    721,142x = 1,538,805 × 1,538,805
  4. Step 4: Simplify right side
    721,142x = 2,367,920,828,025
  5. Step 5: Solve for x
    x = 2,367,920,828,025/721,142
  6. Step 6: Final answer
    x = 3,283,570.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.