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Finding the Third Proportional to 3,091,610 and 4,272,019

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Solution

The third proportional to 3,091,610 and 4,272,019 is: 5,903,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091,610 : 4,272,019 = 4,272,019 : x
  2. Step 2: Convert to fraction form
    3,091,610/4,272,019 = 4,272,019/x
  3. Step 3: Cross multiply
    3,091,610x = 4,272,019 × 4,272,019
  4. Step 4: Simplify right side
    3,091,610x = 18,250,146,336,361
  5. Step 5: Solve for x
    x = 18,250,146,336,361/3,091,610
  6. Step 6: Final answer
    x = 5,903,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.