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Finding the Third Proportional to 451,460 and 980,680

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Solution

The third proportional to 451,460 and 980,680 is: 2,130,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,460 : 980,680 = 980,680 : x
  2. Step 2: Convert to fraction form
    451,460/980,680 = 980,680/x
  3. Step 3: Cross multiply
    451,460x = 980,680 × 980,680
  4. Step 4: Simplify right side
    451,460x = 961,733,262,400
  5. Step 5: Solve for x
    x = 961,733,262,400/451,460
  6. Step 6: Final answer
    x = 2,130,273.47

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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.