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Finding the Third Proportional to 532,683 and 1,144,422

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Solution

The third proportional to 532,683 and 1,144,422 is: 2,458,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,683 : 1,144,422 = 1,144,422 : x
  2. Step 2: Convert to fraction form
    532,683/1,144,422 = 1,144,422/x
  3. Step 3: Cross multiply
    532,683x = 1,144,422 × 1,144,422
  4. Step 4: Simplify right side
    532,683x = 1,309,701,714,084
  5. Step 5: Solve for x
    x = 1,309,701,714,084/532,683
  6. Step 6: Final answer
    x = 2,458,688.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.