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Finding the Third Proportional to 384,062 and 841,593

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Solution

The third proportional to 384,062 and 841,593 is: 1,844,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,062 : 841,593 = 841,593 : x
  2. Step 2: Convert to fraction form
    384,062/841,593 = 841,593/x
  3. Step 3: Cross multiply
    384,062x = 841,593 × 841,593
  4. Step 4: Simplify right side
    384,062x = 708,278,777,649
  5. Step 5: Solve for x
    x = 708,278,777,649/384,062
  6. Step 6: Final answer
    x = 1,844,178.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.