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Finding the Third Proportional to 828,771 and 1,169,806

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Solution

The third proportional to 828,771 and 1,169,806 is: 1,651,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,771 : 1,169,806 = 1,169,806 : x
  2. Step 2: Convert to fraction form
    828,771/1,169,806 = 1,169,806/x
  3. Step 3: Cross multiply
    828,771x = 1,169,806 × 1,169,806
  4. Step 4: Simplify right side
    828,771x = 1,368,446,077,636
  5. Step 5: Solve for x
    x = 1,368,446,077,636/828,771
  6. Step 6: Final answer
    x = 1,651,175.15

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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.