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Finding the Third Proportional to 830,329 and 1,241,171

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Solution

The third proportional to 830,329 and 1,241,171 is: 1,855,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,329 : 1,241,171 = 1,241,171 : x
  2. Step 2: Convert to fraction form
    830,329/1,241,171 = 1,241,171/x
  3. Step 3: Cross multiply
    830,329x = 1,241,171 × 1,241,171
  4. Step 4: Simplify right side
    830,329x = 1,540,505,451,241
  5. Step 5: Solve for x
    x = 1,540,505,451,241/830,329
  6. Step 6: Final answer
    x = 1,855,295.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.