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Finding the Third Proportional to 674,232 and 1,448,518

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Solution

The third proportional to 674,232 and 1,448,518 is: 3,111,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,232 : 1,448,518 = 1,448,518 : x
  2. Step 2: Convert to fraction form
    674,232/1,448,518 = 1,448,518/x
  3. Step 3: Cross multiply
    674,232x = 1,448,518 × 1,448,518
  4. Step 4: Simplify right side
    674,232x = 2,098,204,396,324
  5. Step 5: Solve for x
    x = 2,098,204,396,324/674,232
  6. Step 6: Final answer
    x = 3,111,991.71

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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.