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Finding the Third Proportional to 837,222.75 and 1,336,618.13

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Solution

The third proportional to 837,222.75 and 1,336,618.13 is: 2,133,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,222.75 : 1,336,618.13 = 1,336,618.13 : x
  2. Step 2: Convert to fraction form
    837,222.75/1,336,618.13 = 1,336,618.13/x
  3. Step 3: Cross multiply
    837,222.75x = 1,336,618.13 × 1,336,618.13
  4. Step 4: Simplify right side
    837,222.75x = 1,786,548,012,078.52
  5. Step 5: Solve for x
    x = 1,786,548,012,078.52/837,222.75
  6. Step 6: Final answer
    x = 2,133,898.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.