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Finding the Third Proportional to 1,404,439.88 and 2,121,419.25

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Solution

The third proportional to 1,404,439.88 and 2,121,419.25 is: 3,204,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404,439.88 : 2,121,419.25 = 2,121,419.25 : x
  2. Step 2: Convert to fraction form
    1,404,439.88/2,121,419.25 = 2,121,419.25/x
  3. Step 3: Cross multiply
    1,404,439.88x = 2,121,419.25 × 2,121,419.25
  4. Step 4: Simplify right side
    1,404,439.88x = 4,500,419,634,270.56
  5. Step 5: Solve for x
    x = 4,500,419,634,270.56/1,404,439.88
  6. Step 6: Final answer
    x = 3,204,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.