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Finding the Third Proportional to 1,053,924.75 and 2,267,696.67

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Solution

The third proportional to 1,053,924.75 and 2,267,696.67 is: 4,879,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,924.75 : 2,267,696.67 = 2,267,696.67 : x
  2. Step 2: Convert to fraction form
    1,053,924.75/2,267,696.67 = 2,267,696.67/x
  3. Step 3: Cross multiply
    1,053,924.75x = 2,267,696.67 × 2,267,696.67
  4. Step 4: Simplify right side
    1,053,924.75x = 5,142,448,195,632.95
  5. Step 5: Solve for x
    x = 5,142,448,195,632.95/1,053,924.75
  6. Step 6: Final answer
    x = 4,879,331.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.