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Finding the Third Proportional to 828,774 and 1,169,812

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Solution

The third proportional to 828,774 and 1,169,812 is: 1,651,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,774 : 1,169,812 = 1,169,812 : x
  2. Step 2: Convert to fraction form
    828,774/1,169,812 = 1,169,812/x
  3. Step 3: Cross multiply
    828,774x = 1,169,812 × 1,169,812
  4. Step 4: Simplify right side
    828,774x = 1,368,460,115,344
  5. Step 5: Solve for x
    x = 1,368,460,115,344/828,774
  6. Step 6: Final answer
    x = 1,651,186.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.