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Finding the Third Proportional to 451,319 and 980,443

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Solution

The third proportional to 451,319 and 980,443 is: 2,129,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,319 : 980,443 = 980,443 : x
  2. Step 2: Convert to fraction form
    451,319/980,443 = 980,443/x
  3. Step 3: Cross multiply
    451,319x = 980,443 × 980,443
  4. Step 4: Simplify right side
    451,319x = 961,268,476,249
  5. Step 5: Solve for x
    x = 961,268,476,249/451,319
  6. Step 6: Final answer
    x = 2,129,909.17

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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.