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Finding the Third Proportional to 616,180 and 1,323,422

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Solution

The third proportional to 616,180 and 1,323,422 is: 2,842,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,180 : 1,323,422 = 1,323,422 : x
  2. Step 2: Convert to fraction form
    616,180/1,323,422 = 1,323,422/x
  3. Step 3: Cross multiply
    616,180x = 1,323,422 × 1,323,422
  4. Step 4: Simplify right side
    616,180x = 1,751,445,790,084
  5. Step 5: Solve for x
    x = 1,751,445,790,084/616,180
  6. Step 6: Final answer
    x = 2,842,425.57

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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.