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Finding the Third Proportional to 3,414,768 and 7,459,296

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Solution

The third proportional to 3,414,768 and 7,459,296 is: 16,294,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,768 : 7,459,296 = 7,459,296 : x
  2. Step 2: Convert to fraction form
    3,414,768/7,459,296 = 7,459,296/x
  3. Step 3: Cross multiply
    3,414,768x = 7,459,296 × 7,459,296
  4. Step 4: Simplify right side
    3,414,768x = 55,641,096,815,616
  5. Step 5: Solve for x
    x = 55,641,096,815,616/3,414,768
  6. Step 6: Final answer
    x = 16,294,253.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.