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Finding the Third Proportional to 739,212 and 1,602,744

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Solution

The third proportional to 739,212 and 1,602,744 is: 3,475,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,212 : 1,602,744 = 1,602,744 : x
  2. Step 2: Convert to fraction form
    739,212/1,602,744 = 1,602,744/x
  3. Step 3: Cross multiply
    739,212x = 1,602,744 × 1,602,744
  4. Step 4: Simplify right side
    739,212x = 2,568,788,329,536
  5. Step 5: Solve for x
    x = 2,568,788,329,536/739,212
  6. Step 6: Final answer
    x = 3,475,036.02

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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.