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Finding the Third Proportional to 3,685,981.50 and 5,769,599.50

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Solution

The third proportional to 3,685,981.50 and 5,769,599.50 is: 9,031,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,981.50 : 5,769,599.50 = 5,769,599.50 : x
  2. Step 2: Convert to fraction form
    3,685,981.50/5,769,599.50 = 5,769,599.50/x
  3. Step 3: Cross multiply
    3,685,981.50x = 5,769,599.50 × 5,769,599.50
  4. Step 4: Simplify right side
    3,685,981.50x = 33,288,278,390,400.25
  5. Step 5: Solve for x
    x = 33,288,278,390,400.25/3,685,981.50
  6. Step 6: Final answer
    x = 9,031,048.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.