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Finding the Third Proportional to 831,634 and 1,791,167

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Solution

The third proportional to 831,634 and 1,791,167 is: 3,857,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,634 : 1,791,167 = 1,791,167 : x
  2. Step 2: Convert to fraction form
    831,634/1,791,167 = 1,791,167/x
  3. Step 3: Cross multiply
    831,634x = 1,791,167 × 1,791,167
  4. Step 4: Simplify right side
    831,634x = 3,208,279,221,889
  5. Step 5: Solve for x
    x = 3,208,279,221,889/831,634
  6. Step 6: Final answer
    x = 3,857,801.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.