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Finding the Third Proportional to 3,589,785 and 5,387,178

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Solution

The third proportional to 3,589,785 and 5,387,178 is: 8,084,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,785 : 5,387,178 = 5,387,178 : x
  2. Step 2: Convert to fraction form
    3,589,785/5,387,178 = 5,387,178/x
  3. Step 3: Cross multiply
    3,589,785x = 5,387,178 × 5,387,178
  4. Step 4: Simplify right side
    3,589,785x = 29,021,686,803,684
  5. Step 5: Solve for x
    x = 29,021,686,803,684/3,589,785
  6. Step 6: Final answer
    x = 8,084,519.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.