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Finding the Third Proportional to 532,950 and 1,134,948

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Solution

The third proportional to 532,950 and 1,134,948 is: 2,416,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,950 : 1,134,948 = 1,134,948 : x
  2. Step 2: Convert to fraction form
    532,950/1,134,948 = 1,134,948/x
  3. Step 3: Cross multiply
    532,950x = 1,134,948 × 1,134,948
  4. Step 4: Simplify right side
    532,950x = 1,288,106,962,704
  5. Step 5: Solve for x
    x = 1,288,106,962,704/532,950
  6. Step 6: Final answer
    x = 2,416,937.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.