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Finding the Third Proportional to 2,267,501.75 and 4,933,567

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Solution

The third proportional to 2,267,501.75 and 4,933,567 is: 10,734,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,501.75 : 4,933,567 = 4,933,567 : x
  2. Step 2: Convert to fraction form
    2,267,501.75/4,933,567 = 4,933,567/x
  3. Step 3: Cross multiply
    2,267,501.75x = 4,933,567 × 4,933,567
  4. Step 4: Simplify right side
    2,267,501.75x = 24,340,083,343,489
  5. Step 5: Solve for x
    x = 24,340,083,343,489/2,267,501.75
  6. Step 6: Final answer
    x = 10,734,317.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.