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Finding the Third Proportional to 1,754,548 and 3,826,400

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Solution

The third proportional to 1,754,548 and 3,826,400 is: 8,344,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,548 : 3,826,400 = 3,826,400 : x
  2. Step 2: Convert to fraction form
    1,754,548/3,826,400 = 3,826,400/x
  3. Step 3: Cross multiply
    1,754,548x = 3,826,400 × 3,826,400
  4. Step 4: Simplify right side
    1,754,548x = 14,641,336,960,000
  5. Step 5: Solve for x
    x = 14,641,336,960,000/1,754,548
  6. Step 6: Final answer
    x = 8,344,791.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.