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Finding the Third Proportional to 648,744 and 1,033,074

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Solution

The third proportional to 648,744 and 1,033,074 is: 1,645,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,744 : 1,033,074 = 1,033,074 : x
  2. Step 2: Convert to fraction form
    648,744/1,033,074 = 1,033,074/x
  3. Step 3: Cross multiply
    648,744x = 1,033,074 × 1,033,074
  4. Step 4: Simplify right side
    648,744x = 1,067,241,889,476
  5. Step 5: Solve for x
    x = 1,067,241,889,476/648,744
  6. Step 6: Final answer
    x = 1,645,089.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.