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Finding the Third Proportional to 1,466,976 and 2,244,027

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Solution

The third proportional to 1,466,976 and 2,244,027 is: 3,432,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,976 : 2,244,027 = 2,244,027 : x
  2. Step 2: Convert to fraction form
    1,466,976/2,244,027 = 2,244,027/x
  3. Step 3: Cross multiply
    1,466,976x = 2,244,027 × 2,244,027
  4. Step 4: Simplify right side
    1,466,976x = 5,035,657,176,729
  5. Step 5: Solve for x
    x = 5,035,657,176,729/1,466,976
  6. Step 6: Final answer
    x = 3,432,678.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.