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Finding the Third Proportional to 1,612,365.75 and 2,043,956.53

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Solution

The third proportional to 1,612,365.75 and 2,043,956.53 is: 2,591,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,365.75 : 2,043,956.53 = 2,043,956.53 : x
  2. Step 2: Convert to fraction form
    1,612,365.75/2,043,956.53 = 2,043,956.53/x
  3. Step 3: Cross multiply
    1,612,365.75x = 2,043,956.53 × 2,043,956.53
  4. Step 4: Simplify right side
    1,612,365.75x = 4,177,758,301,639.53
  5. Step 5: Solve for x
    x = 4,177,758,301,639.53/1,612,365.75
  6. Step 6: Final answer
    x = 2,591,073.58

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.