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Finding the Third Proportional to 736,974.75 and 1,562,520.75

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Solution

The third proportional to 736,974.75 and 1,562,520.75 is: 3,312,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,974.75 : 1,562,520.75 = 1,562,520.75 : x
  2. Step 2: Convert to fraction form
    736,974.75/1,562,520.75 = 1,562,520.75/x
  3. Step 3: Cross multiply
    736,974.75x = 1,562,520.75 × 1,562,520.75
  4. Step 4: Simplify right side
    736,974.75x = 2,441,471,094,180.56
  5. Step 5: Solve for x
    x = 2,441,471,094,180.56/736,974.75
  6. Step 6: Final answer
    x = 3,312,828.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.