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Finding the Third Proportional to 5,049,719 and 7,102,786

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Solution

The third proportional to 5,049,719 and 7,102,786 is: 9,990,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049,719 : 7,102,786 = 7,102,786 : x
  2. Step 2: Convert to fraction form
    5,049,719/7,102,786 = 7,102,786/x
  3. Step 3: Cross multiply
    5,049,719x = 7,102,786 × 7,102,786
  4. Step 4: Simplify right side
    5,049,719x = 50,449,568,961,796
  5. Step 5: Solve for x
    x = 50,449,568,961,796/5,049,719
  6. Step 6: Final answer
    x = 9,990,569.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.