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Finding the Third Proportional to 2,051,593.50 and 4,749,468.75

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Solution

The third proportional to 2,051,593.50 and 4,749,468.75 is: 10,995,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,593.50 : 4,749,468.75 = 4,749,468.75 : x
  2. Step 2: Convert to fraction form
    2,051,593.50/4,749,468.75 = 4,749,468.75/x
  3. Step 3: Cross multiply
    2,051,593.50x = 4,749,468.75 × 4,749,468.75
  4. Step 4: Simplify right side
    2,051,593.50x = 22,557,453,407,226.56
  5. Step 5: Solve for x
    x = 22,557,453,407,226.56/2,051,593.50
  6. Step 6: Final answer
    x = 10,995,089.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.