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Finding the Third Proportional to 806,198 and 1,219,718

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Solution

The third proportional to 806,198 and 1,219,718 is: 1,845,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,198 : 1,219,718 = 1,219,718 : x
  2. Step 2: Convert to fraction form
    806,198/1,219,718 = 1,219,718/x
  3. Step 3: Cross multiply
    806,198x = 1,219,718 × 1,219,718
  4. Step 4: Simplify right side
    806,198x = 1,487,711,999,524
  5. Step 5: Solve for x
    x = 1,487,711,999,524/806,198
  6. Step 6: Final answer
    x = 1,845,343.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.