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Finding the Third Proportional to 2,949,944 and 6,419,028

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Solution

The third proportional to 2,949,944 and 6,419,028 is: 13,967,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,944 : 6,419,028 = 6,419,028 : x
  2. Step 2: Convert to fraction form
    2,949,944/6,419,028 = 6,419,028/x
  3. Step 3: Cross multiply
    2,949,944x = 6,419,028 × 6,419,028
  4. Step 4: Simplify right side
    2,949,944x = 41,203,920,464,784
  5. Step 5: Solve for x
    x = 41,203,920,464,784/2,949,944
  6. Step 6: Final answer
    x = 13,967,695.82

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Why These Related Problems?

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