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Finding the Third Proportional to 866,173 and 1,827,133

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Solution

The third proportional to 866,173 and 1,827,133 is: 3,854,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,173 : 1,827,133 = 1,827,133 : x
  2. Step 2: Convert to fraction form
    866,173/1,827,133 = 1,827,133/x
  3. Step 3: Cross multiply
    866,173x = 1,827,133 × 1,827,133
  4. Step 4: Simplify right side
    866,173x = 3,338,414,999,689
  5. Step 5: Solve for x
    x = 3,338,414,999,689/866,173
  6. Step 6: Final answer
    x = 3,854,212.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.