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Finding the Third Proportional to 2,146,384 and 2,904,648

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Solution

The third proportional to 2,146,384 and 2,904,648 is: 3,930,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,384 : 2,904,648 = 2,904,648 : x
  2. Step 2: Convert to fraction form
    2,146,384/2,904,648 = 2,904,648/x
  3. Step 3: Cross multiply
    2,146,384x = 2,904,648 × 2,904,648
  4. Step 4: Simplify right side
    2,146,384x = 8,436,980,003,904
  5. Step 5: Solve for x
    x = 8,436,980,003,904/2,146,384
  6. Step 6: Final answer
    x = 3,930,787.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.