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Finding the Third Proportional to 788,738 and 1,182,723

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Solution

The third proportional to 788,738 and 1,182,723 is: 1,773,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,738 : 1,182,723 = 1,182,723 : x
  2. Step 2: Convert to fraction form
    788,738/1,182,723 = 1,182,723/x
  3. Step 3: Cross multiply
    788,738x = 1,182,723 × 1,182,723
  4. Step 4: Simplify right side
    788,738x = 1,398,833,694,729
  5. Step 5: Solve for x
    x = 1,398,833,694,729/788,738
  6. Step 6: Final answer
    x = 1,773,508.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.