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Finding the Third Proportional to 386,183 and 841,021

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Solution

The third proportional to 386,183 and 841,021 is: 1,831,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,183 : 841,021 = 841,021 : x
  2. Step 2: Convert to fraction form
    386,183/841,021 = 841,021/x
  3. Step 3: Cross multiply
    386,183x = 841,021 × 841,021
  4. Step 4: Simplify right side
    386,183x = 707,316,322,441
  5. Step 5: Solve for x
    x = 707,316,322,441/386,183
  6. Step 6: Final answer
    x = 1,831,557.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.