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Finding the Third Proportional to 980,874.56 and 2,116,540.13

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Solution

The third proportional to 980,874.56 and 2,116,540.13 is: 4,567,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,874.56 : 2,116,540.13 = 2,116,540.13 : x
  2. Step 2: Convert to fraction form
    980,874.56/2,116,540.13 = 2,116,540.13/x
  3. Step 3: Cross multiply
    980,874.56x = 2,116,540.13 × 2,116,540.13
  4. Step 4: Simplify right side
    980,874.56x = 4,479,742,100,735.02
  5. Step 5: Solve for x
    x = 4,479,742,100,735.02/980,874.56
  6. Step 6: Final answer
    x = 4,567,089.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.