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Finding the Third Proportional to 2,102,670 and 3,294,134

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Solution

The third proportional to 2,102,670 and 3,294,134 is: 5,160,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,670 : 3,294,134 = 3,294,134 : x
  2. Step 2: Convert to fraction form
    2,102,670/3,294,134 = 3,294,134/x
  3. Step 3: Cross multiply
    2,102,670x = 3,294,134 × 3,294,134
  4. Step 4: Simplify right side
    2,102,670x = 10,851,318,809,956
  5. Step 5: Solve for x
    x = 10,851,318,809,956/2,102,670
  6. Step 6: Final answer
    x = 5,160,733.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.