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Finding the Third Proportional to 1,033,105.50 and 2,412,468

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Solution

The third proportional to 1,033,105.50 and 2,412,468 is: 5,633,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,105.50 : 2,412,468 = 2,412,468 : x
  2. Step 2: Convert to fraction form
    1,033,105.50/2,412,468 = 2,412,468/x
  3. Step 3: Cross multiply
    1,033,105.50x = 2,412,468 × 2,412,468
  4. Step 4: Simplify right side
    1,033,105.50x = 5,820,001,851,024
  5. Step 5: Solve for x
    x = 5,820,001,851,024/1,033,105.50
  6. Step 6: Final answer
    x = 5,633,501.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.