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Finding the Third Proportional to 2,102,204 and 2,912,138

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Solution

The third proportional to 2,102,204 and 2,912,138 is: 4,034,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,204 : 2,912,138 = 2,912,138 : x
  2. Step 2: Convert to fraction form
    2,102,204/2,912,138 = 2,912,138/x
  3. Step 3: Cross multiply
    2,102,204x = 2,912,138 × 2,912,138
  4. Step 4: Simplify right side
    2,102,204x = 8,480,547,731,044
  5. Step 5: Solve for x
    x = 8,480,547,731,044/2,102,204
  6. Step 6: Final answer
    x = 4,034,122.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.