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Finding the Third Proportional to 646,290 and 1,380,552

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Solution

The third proportional to 646,290 and 1,380,552 is: 2,949,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,290 : 1,380,552 = 1,380,552 : x
  2. Step 2: Convert to fraction form
    646,290/1,380,552 = 1,380,552/x
  3. Step 3: Cross multiply
    646,290x = 1,380,552 × 1,380,552
  4. Step 4: Simplify right side
    646,290x = 1,905,923,824,704
  5. Step 5: Solve for x
    x = 1,905,923,824,704/646,290
  6. Step 6: Final answer
    x = 2,949,022.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.