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Finding the Third Proportional to 1,346,400 and 2,881,923

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Solution

The third proportional to 1,346,400 and 2,881,923 is: 6,168,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,400 : 2,881,923 = 2,881,923 : x
  2. Step 2: Convert to fraction form
    1,346,400/2,881,923 = 2,881,923/x
  3. Step 3: Cross multiply
    1,346,400x = 2,881,923 × 2,881,923
  4. Step 4: Simplify right side
    1,346,400x = 8,305,480,177,929
  5. Step 5: Solve for x
    x = 8,305,480,177,929/1,346,400
  6. Step 6: Final answer
    x = 6,168,657.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.