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Finding the Third Proportional to 2,049,378 and 3,292,723

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Solution

The third proportional to 2,049,378 and 3,292,723 is: 5,290,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,378 : 3,292,723 = 3,292,723 : x
  2. Step 2: Convert to fraction form
    2,049,378/3,292,723 = 3,292,723/x
  3. Step 3: Cross multiply
    2,049,378x = 3,292,723 × 3,292,723
  4. Step 4: Simplify right side
    2,049,378x = 10,842,024,754,729
  5. Step 5: Solve for x
    x = 10,842,024,754,729/2,049,378
  6. Step 6: Final answer
    x = 5,290,397.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.