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Finding the Third Proportional to 1,555,098.75 and 2,434,232.25

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Solution

The third proportional to 1,555,098.75 and 2,434,232.25 is: 3,810,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555,098.75 : 2,434,232.25 = 2,434,232.25 : x
  2. Step 2: Convert to fraction form
    1,555,098.75/2,434,232.25 = 2,434,232.25/x
  3. Step 3: Cross multiply
    1,555,098.75x = 2,434,232.25 × 2,434,232.25
  4. Step 4: Simplify right side
    1,555,098.75x = 5,925,486,646,940.06
  5. Step 5: Solve for x
    x = 5,925,486,646,940.06/1,555,098.75
  6. Step 6: Final answer
    x = 3,810,360.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.