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Finding the Third Proportional to 674,206 and 1,448,464

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Solution

The third proportional to 674,206 and 1,448,464 is: 3,111,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,206 : 1,448,464 = 1,448,464 : x
  2. Step 2: Convert to fraction form
    674,206/1,448,464 = 1,448,464/x
  3. Step 3: Cross multiply
    674,206x = 1,448,464 × 1,448,464
  4. Step 4: Simplify right side
    674,206x = 2,098,047,959,296
  5. Step 5: Solve for x
    x = 2,098,047,959,296/674,206
  6. Step 6: Final answer
    x = 3,111,879.69

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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.