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Finding the Third Proportional to 1,172,642.06 and 1,758,963.09

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Solution

The third proportional to 1,172,642.06 and 1,758,963.09 is: 2,638,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,642.06 : 1,758,963.09 = 1,758,963.09 : x
  2. Step 2: Convert to fraction form
    1,172,642.06/1,758,963.09 = 1,758,963.09/x
  3. Step 3: Cross multiply
    1,172,642.06x = 1,758,963.09 × 1,758,963.09
  4. Step 4: Simplify right side
    1,172,642.06x = 3,093,951,165,174.57
  5. Step 5: Solve for x
    x = 3,093,951,165,174.57/1,172,642.06
  6. Step 6: Final answer
    x = 2,638,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.