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Finding the Third Proportional to 1,206,221.63 and 2,652,324.75

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Solution

The third proportional to 1,206,221.63 and 2,652,324.75 is: 5,832,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,221.63 : 2,652,324.75 = 2,652,324.75 : x
  2. Step 2: Convert to fraction form
    1,206,221.63/2,652,324.75 = 2,652,324.75/x
  3. Step 3: Cross multiply
    1,206,221.63x = 2,652,324.75 × 2,652,324.75
  4. Step 4: Simplify right side
    1,206,221.63x = 7,034,826,579,462.56
  5. Step 5: Solve for x
    x = 7,034,826,579,462.56/1,206,221.63
  6. Step 6: Final answer
    x = 5,832,117.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.