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Finding the Third Proportional to 648,723 and 1,033,045

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Solution

The third proportional to 648,723 and 1,033,045 is: 1,645,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,723 : 1,033,045 = 1,033,045 : x
  2. Step 2: Convert to fraction form
    648,723/1,033,045 = 1,033,045/x
  3. Step 3: Cross multiply
    648,723x = 1,033,045 × 1,033,045
  4. Step 4: Simplify right side
    648,723x = 1,067,181,972,025
  5. Step 5: Solve for x
    x = 1,067,181,972,025/648,723
  6. Step 6: Final answer
    x = 1,645,050.31

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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.