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Finding the Third Proportional to 535,934 and 1,149,574

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Solution

The third proportional to 535,934 and 1,149,574 is: 2,465,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,934 : 1,149,574 = 1,149,574 : x
  2. Step 2: Convert to fraction form
    535,934/1,149,574 = 1,149,574/x
  3. Step 3: Cross multiply
    535,934x = 1,149,574 × 1,149,574
  4. Step 4: Simplify right side
    535,934x = 1,321,520,381,476
  5. Step 5: Solve for x
    x = 1,321,520,381,476/535,934
  6. Step 6: Final answer
    x = 2,465,826.73

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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.