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Finding the Third Proportional to 1,189,870.88 and 2,319,963.75

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Solution

The third proportional to 1,189,870.88 and 2,319,963.75 is: 4,523,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,870.88 : 2,319,963.75 = 2,319,963.75 : x
  2. Step 2: Convert to fraction form
    1,189,870.88/2,319,963.75 = 2,319,963.75/x
  3. Step 3: Cross multiply
    1,189,870.88x = 2,319,963.75 × 2,319,963.75
  4. Step 4: Simplify right side
    1,189,870.88x = 5,382,231,801,314.06
  5. Step 5: Solve for x
    x = 5,382,231,801,314.06/1,189,870.88
  6. Step 6: Final answer
    x = 4,523,374.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.