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Finding the Third Proportional to 451,323 and 980,451

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Solution

The third proportional to 451,323 and 980,451 is: 2,129,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,323 : 980,451 = 980,451 : x
  2. Step 2: Convert to fraction form
    451,323/980,451 = 980,451/x
  3. Step 3: Cross multiply
    451,323x = 980,451 × 980,451
  4. Step 4: Simplify right side
    451,323x = 961,284,163,401
  5. Step 5: Solve for x
    x = 961,284,163,401/451,323
  6. Step 6: Final answer
    x = 2,129,925.05

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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.