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Finding the Third Proportional to 1,973,445.75 and 4,251,431.25

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Solution

The third proportional to 1,973,445.75 and 4,251,431.25 is: 9,158,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,445.75 : 4,251,431.25 = 4,251,431.25 : x
  2. Step 2: Convert to fraction form
    1,973,445.75/4,251,431.25 = 4,251,431.25/x
  3. Step 3: Cross multiply
    1,973,445.75x = 4,251,431.25 × 4,251,431.25
  4. Step 4: Simplify right side
    1,973,445.75x = 18,074,667,673,476.56
  5. Step 5: Solve for x
    x = 18,074,667,673,476.56/1,973,445.75
  6. Step 6: Final answer
    x = 9,158,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.