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Finding the Third Proportional to 4,044,742.75 and 5,689,215.75

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Solution

The third proportional to 4,044,742.75 and 5,689,215.75 is: 8,002,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044,742.75 : 5,689,215.75 = 5,689,215.75 : x
  2. Step 2: Convert to fraction form
    4,044,742.75/5,689,215.75 = 5,689,215.75/x
  3. Step 3: Cross multiply
    4,044,742.75x = 5,689,215.75 × 5,689,215.75
  4. Step 4: Simplify right side
    4,044,742.75x = 32,367,175,850,048.06
  5. Step 5: Solve for x
    x = 32,367,175,850,048.06/4,044,742.75
  6. Step 6: Final answer
    x = 8,002,282.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.