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Finding the Third Proportional to 3,835,398 and 6,391,563

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Solution

The third proportional to 3,835,398 and 6,391,563 is: 10,651,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,398 : 6,391,563 = 6,391,563 : x
  2. Step 2: Convert to fraction form
    3,835,398/6,391,563 = 6,391,563/x
  3. Step 3: Cross multiply
    3,835,398x = 6,391,563 × 6,391,563
  4. Step 4: Simplify right side
    3,835,398x = 40,852,077,582,969
  5. Step 5: Solve for x
    x = 40,852,077,582,969/3,835,398
  6. Step 6: Final answer
    x = 10,651,326.82

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.