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Finding the Third Proportional to 1,858,344.75 and 3,816,739.13

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Solution

The third proportional to 1,858,344.75 and 3,816,739.13 is: 7,838,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858,344.75 : 3,816,739.13 = 3,816,739.13 : x
  2. Step 2: Convert to fraction form
    1,858,344.75/3,816,739.13 = 3,816,739.13/x
  3. Step 3: Cross multiply
    1,858,344.75x = 3,816,739.13 × 3,816,739.13
  4. Step 4: Simplify right side
    1,858,344.75x = 14,567,497,548,305.77
  5. Step 5: Solve for x
    x = 14,567,497,548,305.77/1,858,344.75
  6. Step 6: Final answer
    x = 7,838,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.