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Finding the Third Proportional to 734,780 and 1,614,118

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Solution

The third proportional to 734,780 and 1,614,118 is: 3,545,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,780 : 1,614,118 = 1,614,118 : x
  2. Step 2: Convert to fraction form
    734,780/1,614,118 = 1,614,118/x
  3. Step 3: Cross multiply
    734,780x = 1,614,118 × 1,614,118
  4. Step 4: Simplify right side
    734,780x = 2,605,376,917,924
  5. Step 5: Solve for x
    x = 2,605,376,917,924/734,780
  6. Step 6: Final answer
    x = 3,545,791.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.