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Finding the Third Proportional to 1,215,205.88 and 2,659,155.75

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Solution

The third proportional to 1,215,205.88 and 2,659,155.75 is: 5,818,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,205.88 : 2,659,155.75 = 2,659,155.75 : x
  2. Step 2: Convert to fraction form
    1,215,205.88/2,659,155.75 = 2,659,155.75/x
  3. Step 3: Cross multiply
    1,215,205.88x = 2,659,155.75 × 2,659,155.75
  4. Step 4: Simplify right side
    1,215,205.88x = 7,071,109,302,758.06
  5. Step 5: Solve for x
    x = 7,071,109,302,758.06/1,215,205.88
  6. Step 6: Final answer
    x = 5,818,857.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.