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Finding the Third Proportional to 797,474 and 1,184,691

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Solution

The third proportional to 797,474 and 1,184,691 is: 1,759,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,474 : 1,184,691 = 1,184,691 : x
  2. Step 2: Convert to fraction form
    797,474/1,184,691 = 1,184,691/x
  3. Step 3: Cross multiply
    797,474x = 1,184,691 × 1,184,691
  4. Step 4: Simplify right side
    797,474x = 1,403,492,765,481
  5. Step 5: Solve for x
    x = 1,403,492,765,481/797,474
  6. Step 6: Final answer
    x = 1,759,922.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.