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Finding the Third Proportional to 828,943 and 1,318,147

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Solution

The third proportional to 828,943 and 1,318,147 is: 2,096,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,943 : 1,318,147 = 1,318,147 : x
  2. Step 2: Convert to fraction form
    828,943/1,318,147 = 1,318,147/x
  3. Step 3: Cross multiply
    828,943x = 1,318,147 × 1,318,147
  4. Step 4: Simplify right side
    828,943x = 1,737,511,513,609
  5. Step 5: Solve for x
    x = 1,737,511,513,609/828,943
  6. Step 6: Final answer
    x = 2,096,056.68

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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.