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Finding the Third Proportional to 1,182,542 and 1,826,298

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Solution

The third proportional to 1,182,542 and 1,826,298 is: 2,820,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,542 : 1,826,298 = 1,826,298 : x
  2. Step 2: Convert to fraction form
    1,182,542/1,826,298 = 1,826,298/x
  3. Step 3: Cross multiply
    1,182,542x = 1,826,298 × 1,826,298
  4. Step 4: Simplify right side
    1,182,542x = 3,335,364,384,804
  5. Step 5: Solve for x
    x = 3,335,364,384,804/1,182,542
  6. Step 6: Final answer
    x = 2,820,503.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.