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Finding the Third Proportional to 2,016,184 and 3,194,091

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Solution

The third proportional to 2,016,184 and 3,194,091 is: 5,060,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,184 : 3,194,091 = 3,194,091 : x
  2. Step 2: Convert to fraction form
    2,016,184/3,194,091 = 3,194,091/x
  3. Step 3: Cross multiply
    2,016,184x = 3,194,091 × 3,194,091
  4. Step 4: Simplify right side
    2,016,184x = 10,202,217,316,281
  5. Step 5: Solve for x
    x = 10,202,217,316,281/2,016,184
  6. Step 6: Final answer
    x = 5,060,161.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.