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Finding the Third Proportional to 780,886 and 1,181,163

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Solution

The third proportional to 780,886 and 1,181,163 is: 1,786,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,886 : 1,181,163 = 1,181,163 : x
  2. Step 2: Convert to fraction form
    780,886/1,181,163 = 1,181,163/x
  3. Step 3: Cross multiply
    780,886x = 1,181,163 × 1,181,163
  4. Step 4: Simplify right side
    780,886x = 1,395,146,032,569
  5. Step 5: Solve for x
    x = 1,395,146,032,569/780,886
  6. Step 6: Final answer
    x = 1,786,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.