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Finding the Third Proportional to 532,218 and 1,162,767

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Solution

The third proportional to 532,218 and 1,162,767 is: 2,540,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,218 : 1,162,767 = 1,162,767 : x
  2. Step 2: Convert to fraction form
    532,218/1,162,767 = 1,162,767/x
  3. Step 3: Cross multiply
    532,218x = 1,162,767 × 1,162,767
  4. Step 4: Simplify right side
    532,218x = 1,352,027,096,289
  5. Step 5: Solve for x
    x = 1,352,027,096,289/532,218
  6. Step 6: Final answer
    x = 2,540,363.34

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Why These Related Problems?

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