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Finding the Third Proportional to 451,321 and 980,447

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Solution

The third proportional to 451,321 and 980,447 is: 2,129,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,321 : 980,447 = 980,447 : x
  2. Step 2: Convert to fraction form
    451,321/980,447 = 980,447/x
  3. Step 3: Cross multiply
    451,321x = 980,447 × 980,447
  4. Step 4: Simplify right side
    451,321x = 961,276,319,809
  5. Step 5: Solve for x
    x = 961,276,319,809/451,321
  6. Step 6: Final answer
    x = 2,129,917.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.