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Finding the Third Proportional to 980,018 and 2,110,182

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Solution

The third proportional to 980,018 and 2,110,182 is: 4,543,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,018 : 2,110,182 = 2,110,182 : x
  2. Step 2: Convert to fraction form
    980,018/2,110,182 = 2,110,182/x
  3. Step 3: Cross multiply
    980,018x = 2,110,182 × 2,110,182
  4. Step 4: Simplify right side
    980,018x = 4,452,868,073,124
  5. Step 5: Solve for x
    x = 4,452,868,073,124/980,018
  6. Step 6: Final answer
    x = 4,543,659.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.