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Finding the Third Proportional to 814,016 and 1,768,160

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Solution

The third proportional to 814,016 and 1,768,160 is: 3,840,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,016 : 1,768,160 = 1,768,160 : x
  2. Step 2: Convert to fraction form
    814,016/1,768,160 = 1,768,160/x
  3. Step 3: Cross multiply
    814,016x = 1,768,160 × 1,768,160
  4. Step 4: Simplify right side
    814,016x = 3,126,389,785,600
  5. Step 5: Solve for x
    x = 3,126,389,785,600/814,016
  6. Step 6: Final answer
    x = 3,840,698.20

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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.