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Finding the Third Proportional to 648,734 and 1,033,061

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Solution

The third proportional to 648,734 and 1,033,061 is: 1,645,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,734 : 1,033,061 = 1,033,061 : x
  2. Step 2: Convert to fraction form
    648,734/1,033,061 = 1,033,061/x
  3. Step 3: Cross multiply
    648,734x = 1,033,061 × 1,033,061
  4. Step 4: Simplify right side
    648,734x = 1,067,215,029,721
  5. Step 5: Solve for x
    x = 1,067,215,029,721/648,734
  6. Step 6: Final answer
    x = 1,645,073.37

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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.