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Finding the Third Proportional to 3,780,780 and 5,811,319.50

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Solution

The third proportional to 3,780,780 and 5,811,319.50 is: 8,932,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,780 : 5,811,319.50 = 5,811,319.50 : x
  2. Step 2: Convert to fraction form
    3,780,780/5,811,319.50 = 5,811,319.50/x
  3. Step 3: Cross multiply
    3,780,780x = 5,811,319.50 × 5,811,319.50
  4. Step 4: Simplify right side
    3,780,780x = 33,771,434,331,080.25
  5. Step 5: Solve for x
    x = 33,771,434,331,080.25/3,780,780
  6. Step 6: Final answer
    x = 8,932,398.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.