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Finding the Third Proportional to 2,311,567 and 4,993,319

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Solution

The third proportional to 2,311,567 and 4,993,319 is: 10,786,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,567 : 4,993,319 = 4,993,319 : x
  2. Step 2: Convert to fraction form
    2,311,567/4,993,319 = 4,993,319/x
  3. Step 3: Cross multiply
    2,311,567x = 4,993,319 × 4,993,319
  4. Step 4: Simplify right side
    2,311,567x = 24,933,234,635,761
  5. Step 5: Solve for x
    x = 24,933,234,635,761/2,311,567
  6. Step 6: Final answer
    x = 10,786,291.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.