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Finding the Third Proportional to 828,953 and 1,318,166

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Solution

The third proportional to 828,953 and 1,318,166 is: 2,096,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,953 : 1,318,166 = 1,318,166 : x
  2. Step 2: Convert to fraction form
    828,953/1,318,166 = 1,318,166/x
  3. Step 3: Cross multiply
    828,953x = 1,318,166 × 1,318,166
  4. Step 4: Simplify right side
    828,953x = 1,737,561,603,556
  5. Step 5: Solve for x
    x = 1,737,561,603,556/828,953
  6. Step 6: Final answer
    x = 2,096,091.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.