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Finding the Third Proportional to 674,197 and 1,448,447

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Solution

The third proportional to 674,197 and 1,448,447 is: 3,111,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,197 : 1,448,447 = 1,448,447 : x
  2. Step 2: Convert to fraction form
    674,197/1,448,447 = 1,448,447/x
  3. Step 3: Cross multiply
    674,197x = 1,448,447 × 1,448,447
  4. Step 4: Simplify right side
    674,197x = 2,097,998,711,809
  5. Step 5: Solve for x
    x = 2,097,998,711,809/674,197
  6. Step 6: Final answer
    x = 3,111,848.19

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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.