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Finding the Third Proportional to 831,499 and 918,979

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Solution

The third proportional to 831,499 and 918,979 is: 1,015,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,499 : 918,979 = 918,979 : x
  2. Step 2: Convert to fraction form
    831,499/918,979 = 918,979/x
  3. Step 3: Cross multiply
    831,499x = 918,979 × 918,979
  4. Step 4: Simplify right side
    831,499x = 844,522,402,441
  5. Step 5: Solve for x
    x = 844,522,402,441/831,499
  6. Step 6: Final answer
    x = 1,015,662.56

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.