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Finding the Third Proportional to 3,820,785 and 5,780,319

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Solution

The third proportional to 3,820,785 and 5,780,319 is: 8,744,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820,785 : 5,780,319 = 5,780,319 : x
  2. Step 2: Convert to fraction form
    3,820,785/5,780,319 = 5,780,319/x
  3. Step 3: Cross multiply
    3,820,785x = 5,780,319 × 5,780,319
  4. Step 4: Simplify right side
    3,820,785x = 33,412,087,741,761
  5. Step 5: Solve for x
    x = 33,412,087,741,761/3,820,785
  6. Step 6: Final answer
    x = 8,744,822.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.