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Finding the Third Proportional to 2,734,453.13 and 5,892,831

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Solution

The third proportional to 2,734,453.13 and 5,892,831 is: 12,699,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,453.13 : 5,892,831 = 5,892,831 : x
  2. Step 2: Convert to fraction form
    2,734,453.13/5,892,831 = 5,892,831/x
  3. Step 3: Cross multiply
    2,734,453.13x = 5,892,831 × 5,892,831
  4. Step 4: Simplify right side
    2,734,453.13x = 34,725,457,194,561
  5. Step 5: Solve for x
    x = 34,725,457,194,561/2,734,453.13
  6. Step 6: Final answer
    x = 12,699,232.94

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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.