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Finding the Third Proportional to 386,274 and 807,846

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Solution

The third proportional to 386,274 and 807,846 is: 1,689,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,274 : 807,846 = 807,846 : x
  2. Step 2: Convert to fraction form
    386,274/807,846 = 807,846/x
  3. Step 3: Cross multiply
    386,274x = 807,846 × 807,846
  4. Step 4: Simplify right side
    386,274x = 652,615,159,716
  5. Step 5: Solve for x
    x = 652,615,159,716/386,274
  6. Step 6: Final answer
    x = 1,689,513.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.