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Finding the Third Proportional to 384,060 and 841,589

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Solution

The third proportional to 384,060 and 841,589 is: 1,844,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,060 : 841,589 = 841,589 : x
  2. Step 2: Convert to fraction form
    384,060/841,589 = 841,589/x
  3. Step 3: Cross multiply
    384,060x = 841,589 × 841,589
  4. Step 4: Simplify right side
    384,060x = 708,272,044,921
  5. Step 5: Solve for x
    x = 708,272,044,921/384,060
  6. Step 6: Final answer
    x = 1,844,170.30

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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.