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Finding the Third Proportional to 386,301 and 839,097

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Solution

The third proportional to 386,301 and 839,097 is: 1,822,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,301 : 839,097 = 839,097 : x
  2. Step 2: Convert to fraction form
    386,301/839,097 = 839,097/x
  3. Step 3: Cross multiply
    386,301x = 839,097 × 839,097
  4. Step 4: Simplify right side
    386,301x = 704,083,775,409
  5. Step 5: Solve for x
    x = 704,083,775,409/386,301
  6. Step 6: Final answer
    x = 1,822,629.96

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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.