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Finding the Third Proportional to 776,806 and 1,172,329

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Solution

The third proportional to 776,806 and 1,172,329 is: 1,769,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,806 : 1,172,329 = 1,172,329 : x
  2. Step 2: Convert to fraction form
    776,806/1,172,329 = 1,172,329/x
  3. Step 3: Cross multiply
    776,806x = 1,172,329 × 1,172,329
  4. Step 4: Simplify right side
    776,806x = 1,374,355,284,241
  5. Step 5: Solve for x
    x = 1,374,355,284,241/776,806
  6. Step 6: Final answer
    x = 1,769,238.76

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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.