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Finding the Third Proportional to 1,275,768 and 2,734,704

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Solution

The third proportional to 1,275,768 and 2,734,704 is: 5,862,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,768 : 2,734,704 = 2,734,704 : x
  2. Step 2: Convert to fraction form
    1,275,768/2,734,704 = 2,734,704/x
  3. Step 3: Cross multiply
    1,275,768x = 2,734,704 × 2,734,704
  4. Step 4: Simplify right side
    1,275,768x = 7,478,605,967,616
  5. Step 5: Solve for x
    x = 7,478,605,967,616/1,275,768
  6. Step 6: Final answer
    x = 5,862,042.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.