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Finding the Third Proportional to 463,823.06 and 997,764.56

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Solution

The third proportional to 463,823.06 and 997,764.56 is: 2,146,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,823.06 : 997,764.56 = 997,764.56 : x
  2. Step 2: Convert to fraction form
    463,823.06/997,764.56 = 997,764.56/x
  3. Step 3: Cross multiply
    463,823.06x = 997,764.56 × 997,764.56
  4. Step 4: Simplify right side
    463,823.06x = 995,534,122,180.82
  5. Step 5: Solve for x
    x = 995,534,122,180.82/463,823.06
  6. Step 6: Final answer
    x = 2,146,366.15

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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.