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Finding the Third Proportional to 387,342 and 839,022

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Solution

The third proportional to 387,342 and 839,022 is: 1,817,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,342 : 839,022 = 839,022 : x
  2. Step 2: Convert to fraction form
    387,342/839,022 = 839,022/x
  3. Step 3: Cross multiply
    387,342x = 839,022 × 839,022
  4. Step 4: Simplify right side
    387,342x = 703,957,916,484
  5. Step 5: Solve for x
    x = 703,957,916,484/387,342
  6. Step 6: Final answer
    x = 1,817,406.62

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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.