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Finding the Third Proportional to 1,377,728 and 2,919,352

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Solution

The third proportional to 1,377,728 and 2,919,352 is: 6,185,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,728 : 2,919,352 = 2,919,352 : x
  2. Step 2: Convert to fraction form
    1,377,728/2,919,352 = 2,919,352/x
  3. Step 3: Cross multiply
    1,377,728x = 2,919,352 × 2,919,352
  4. Step 4: Simplify right side
    1,377,728x = 8,522,616,099,904
  5. Step 5: Solve for x
    x = 8,522,616,099,904/1,377,728
  6. Step 6: Final answer
    x = 6,185,993.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.