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Finding the Third Proportional to 451,276 and 980,359

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Solution

The third proportional to 451,276 and 980,359 is: 2,129,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,276 : 980,359 = 980,359 : x
  2. Step 2: Convert to fraction form
    451,276/980,359 = 980,359/x
  3. Step 3: Cross multiply
    451,276x = 980,359 × 980,359
  4. Step 4: Simplify right side
    451,276x = 961,103,768,881
  5. Step 5: Solve for x
    x = 961,103,768,881/451,276
  6. Step 6: Final answer
    x = 2,129,747.14

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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.