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Finding the Third Proportional to 2,102,669 and 3,294,131

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Solution

The third proportional to 2,102,669 and 3,294,131 is: 5,160,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,669 : 3,294,131 = 3,294,131 : x
  2. Step 2: Convert to fraction form
    2,102,669/3,294,131 = 3,294,131/x
  3. Step 3: Cross multiply
    2,102,669x = 3,294,131 × 3,294,131
  4. Step 4: Simplify right side
    2,102,669x = 10,851,299,045,161
  5. Step 5: Solve for x
    x = 10,851,299,045,161/2,102,669
  6. Step 6: Final answer
    x = 5,160,726.22

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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.