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Finding the Third Proportional to 778,806 and 1,690,471.13

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Solution

The third proportional to 778,806 and 1,690,471.13 is: 3,669,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,806 : 1,690,471.13 = 1,690,471.13 : x
  2. Step 2: Convert to fraction form
    778,806/1,690,471.13 = 1,690,471.13/x
  3. Step 3: Cross multiply
    778,806x = 1,690,471.13 × 1,690,471.13
  4. Step 4: Simplify right side
    778,806x = 2,857,692,624,458.77
  5. Step 5: Solve for x
    x = 2,857,692,624,458.77/778,806
  6. Step 6: Final answer
    x = 3,669,325.38

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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.