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Finding the Third Proportional to 3,405,940 and 5,123,217

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Solution

The third proportional to 3,405,940 and 5,123,217 is: 7,706,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,940 : 5,123,217 = 5,123,217 : x
  2. Step 2: Convert to fraction form
    3,405,940/5,123,217 = 5,123,217/x
  3. Step 3: Cross multiply
    3,405,940x = 5,123,217 × 5,123,217
  4. Step 4: Simplify right side
    3,405,940x = 26,247,352,429,089
  5. Step 5: Solve for x
    x = 26,247,352,429,089/3,405,940
  6. Step 6: Final answer
    x = 7,706,346.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.