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Finding the Third Proportional to 782,876 and 1,701,784

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Solution

The third proportional to 782,876 and 1,701,784 is: 3,699,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,876 : 1,701,784 = 1,701,784 : x
  2. Step 2: Convert to fraction form
    782,876/1,701,784 = 1,701,784/x
  3. Step 3: Cross multiply
    782,876x = 1,701,784 × 1,701,784
  4. Step 4: Simplify right side
    782,876x = 2,896,068,782,656
  5. Step 5: Solve for x
    x = 2,896,068,782,656/782,876
  6. Step 6: Final answer
    x = 3,699,268.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.