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Finding the Third Proportional to 1,603,716.47 and 3,489,755.91

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Solution

The third proportional to 1,603,716.47 and 3,489,755.91 is: 7,593,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,716.47 : 3,489,755.91 = 3,489,755.91 : x
  2. Step 2: Convert to fraction form
    1,603,716.47/3,489,755.91 = 3,489,755.91/x
  3. Step 3: Cross multiply
    1,603,716.47x = 3,489,755.91 × 3,489,755.91
  4. Step 4: Simplify right side
    1,603,716.47x = 12,178,396,285,206.76
  5. Step 5: Solve for x
    x = 12,178,396,285,206.76/1,603,716.47
  6. Step 6: Final answer
    x = 7,593,858.72

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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.