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Finding the Third Proportional to 445,808 and 980,016

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Solution

The third proportional to 445,808 and 980,016 is: 2,154,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,808 : 980,016 = 980,016 : x
  2. Step 2: Convert to fraction form
    445,808/980,016 = 980,016/x
  3. Step 3: Cross multiply
    445,808x = 980,016 × 980,016
  4. Step 4: Simplify right side
    445,808x = 960,431,360,256
  5. Step 5: Solve for x
    x = 960,431,360,256/445,808
  6. Step 6: Final answer
    x = 2,154,360.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.