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Finding the Third Proportional to 1,206,813 and 1,789,336.50

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Solution

The third proportional to 1,206,813 and 1,789,336.50 is: 2,653,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,813 : 1,789,336.50 = 1,789,336.50 : x
  2. Step 2: Convert to fraction form
    1,206,813/1,789,336.50 = 1,789,336.50/x
  3. Step 3: Cross multiply
    1,206,813x = 1,789,336.50 × 1,789,336.50
  4. Step 4: Simplify right side
    1,206,813x = 3,201,725,110,232.25
  5. Step 5: Solve for x
    x = 3,201,725,110,232.25/1,206,813
  6. Step 6: Final answer
    x = 2,653,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.