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Finding the Third Proportional to 2,731,733.86 and 3,946,544.02

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Solution

The third proportional to 2,731,733.86 and 3,946,544.02 is: 5,701,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,733.86 : 3,946,544.02 = 3,946,544.02 : x
  2. Step 2: Convert to fraction form
    2,731,733.86/3,946,544.02 = 3,946,544.02/x
  3. Step 3: Cross multiply
    2,731,733.86x = 3,946,544.02 × 3,946,544.02
  4. Step 4: Simplify right side
    2,731,733.86x = 15,575,209,667,265.50
  5. Step 5: Solve for x
    x = 15,575,209,667,265.50/2,731,733.86
  6. Step 6: Final answer
    x = 5,701,583.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.