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Finding the Third Proportional to 674,169 and 1,448,394

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Solution

The third proportional to 674,169 and 1,448,394 is: 3,111,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,169 : 1,448,394 = 1,448,394 : x
  2. Step 2: Convert to fraction form
    674,169/1,448,394 = 1,448,394/x
  3. Step 3: Cross multiply
    674,169x = 1,448,394 × 1,448,394
  4. Step 4: Simplify right side
    674,169x = 2,097,845,179,236
  5. Step 5: Solve for x
    x = 2,097,845,179,236/674,169
  6. Step 6: Final answer
    x = 3,111,749.69

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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.