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Finding the Third Proportional to 532,758 and 1,133,322

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Solution

The third proportional to 532,758 and 1,133,322 is: 2,410,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,758 : 1,133,322 = 1,133,322 : x
  2. Step 2: Convert to fraction form
    532,758/1,133,322 = 1,133,322/x
  3. Step 3: Cross multiply
    532,758x = 1,133,322 × 1,133,322
  4. Step 4: Simplify right side
    532,758x = 1,284,418,755,684
  5. Step 5: Solve for x
    x = 1,284,418,755,684/532,758
  6. Step 6: Final answer
    x = 2,410,885.91

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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.