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Finding the Third Proportional to 2,102,756 and 3,294,294

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Solution

The third proportional to 2,102,756 and 3,294,294 is: 5,161,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,756 : 3,294,294 = 3,294,294 : x
  2. Step 2: Convert to fraction form
    2,102,756/3,294,294 = 3,294,294/x
  3. Step 3: Cross multiply
    2,102,756x = 3,294,294 × 3,294,294
  4. Step 4: Simplify right side
    2,102,756x = 10,852,372,958,436
  5. Step 5: Solve for x
    x = 10,852,372,958,436/2,102,756
  6. Step 6: Final answer
    x = 5,161,023.42

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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.