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Finding the Third Proportional to 980,016 and 2,110,178

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Solution

The third proportional to 980,016 and 2,110,178 is: 4,543,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,016 : 2,110,178 = 2,110,178 : x
  2. Step 2: Convert to fraction form
    980,016/2,110,178 = 2,110,178/x
  3. Step 3: Cross multiply
    980,016x = 2,110,178 × 2,110,178
  4. Step 4: Simplify right side
    980,016x = 4,452,851,191,684
  5. Step 5: Solve for x
    x = 4,452,851,191,684/980,016
  6. Step 6: Final answer
    x = 4,543,651.52

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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.