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Finding the Third Proportional to 453,600 and 986,016

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Solution

The third proportional to 453,600 and 986,016 is: 2,143,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,600 : 986,016 = 986,016 : x
  2. Step 2: Convert to fraction form
    453,600/986,016 = 986,016/x
  3. Step 3: Cross multiply
    453,600x = 986,016 × 986,016
  4. Step 4: Simplify right side
    453,600x = 972,227,552,256
  5. Step 5: Solve for x
    x = 972,227,552,256/453,600
  6. Step 6: Final answer
    x = 2,143,358.80

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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.