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Finding the Third Proportional to 648,721 and 1,033,042

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Solution

The third proportional to 648,721 and 1,033,042 is: 1,645,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,721 : 1,033,042 = 1,033,042 : x
  2. Step 2: Convert to fraction form
    648,721/1,033,042 = 1,033,042/x
  3. Step 3: Cross multiply
    648,721x = 1,033,042 × 1,033,042
  4. Step 4: Simplify right side
    648,721x = 1,067,175,773,764
  5. Step 5: Solve for x
    x = 1,067,175,773,764/648,721
  6. Step 6: Final answer
    x = 1,645,045.83

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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.