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Finding the Third Proportional to 831,974 and 1,188,903

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Solution

The third proportional to 831,974 and 1,188,903 is: 1,698,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,974 : 1,188,903 = 1,188,903 : x
  2. Step 2: Convert to fraction form
    831,974/1,188,903 = 1,188,903/x
  3. Step 3: Cross multiply
    831,974x = 1,188,903 × 1,188,903
  4. Step 4: Simplify right side
    831,974x = 1,413,490,343,409
  5. Step 5: Solve for x
    x = 1,413,490,343,409/831,974
  6. Step 6: Final answer
    x = 1,698,959.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.