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Finding the Third Proportional to 384,842 and 844,040

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Solution

The third proportional to 384,842 and 844,040 is: 1,851,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,842 : 844,040 = 844,040 : x
  2. Step 2: Convert to fraction form
    384,842/844,040 = 844,040/x
  3. Step 3: Cross multiply
    384,842x = 844,040 × 844,040
  4. Step 4: Simplify right side
    384,842x = 712,403,521,600
  5. Step 5: Solve for x
    x = 712,403,521,600/384,842
  6. Step 6: Final answer
    x = 1,851,158.45

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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.