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Finding the Third Proportional to 831,269 and 1,062,166

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Solution

The third proportional to 831,269 and 1,062,166 is: 1,357,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,269 : 1,062,166 = 1,062,166 : x
  2. Step 2: Convert to fraction form
    831,269/1,062,166 = 1,062,166/x
  3. Step 3: Cross multiply
    831,269x = 1,062,166 × 1,062,166
  4. Step 4: Simplify right side
    831,269x = 1,128,196,611,556
  5. Step 5: Solve for x
    x = 1,128,196,611,556/831,269
  6. Step 6: Final answer
    x = 1,357,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.