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Finding the Third Proportional to 826,360 and 1,276,908

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Solution

The third proportional to 826,360 and 1,276,908 is: 1,973,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,360 : 1,276,908 = 1,276,908 : x
  2. Step 2: Convert to fraction form
    826,360/1,276,908 = 1,276,908/x
  3. Step 3: Cross multiply
    826,360x = 1,276,908 × 1,276,908
  4. Step 4: Simplify right side
    826,360x = 1,630,494,040,464
  5. Step 5: Solve for x
    x = 1,630,494,040,464/826,360
  6. Step 6: Final answer
    x = 1,973,103.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.