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Finding the Third Proportional to 1,172,596.50 and 1,858,261.50

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Solution

The third proportional to 1,172,596.50 and 1,858,261.50 is: 2,944,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,596.50 : 1,858,261.50 = 1,858,261.50 : x
  2. Step 2: Convert to fraction form
    1,172,596.50/1,858,261.50 = 1,858,261.50/x
  3. Step 3: Cross multiply
    1,172,596.50x = 1,858,261.50 × 1,858,261.50
  4. Step 4: Simplify right side
    1,172,596.50x = 3,453,135,802,382.25
  5. Step 5: Solve for x
    x = 3,453,135,802,382.25/1,172,596.50
  6. Step 6: Final answer
    x = 2,944,862.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.