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Finding the Third Proportional to 1,204,849.13 and 1,606,285.69

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Solution

The third proportional to 1,204,849.13 and 1,606,285.69 is: 2,141,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,849.13 : 1,606,285.69 = 1,606,285.69 : x
  2. Step 2: Convert to fraction form
    1,204,849.13/1,606,285.69 = 1,606,285.69/x
  3. Step 3: Cross multiply
    1,204,849.13x = 1,606,285.69 × 1,606,285.69
  4. Step 4: Simplify right side
    1,204,849.13x = 2,580,153,709,867.35
  5. Step 5: Solve for x
    x = 2,580,153,709,867.35/1,204,849.13
  6. Step 6: Final answer
    x = 2,141,474.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.