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Finding the Third Proportional to 814,603.50 and 1,651,029.75

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Solution

The third proportional to 814,603.50 and 1,651,029.75 is: 3,346,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,603.50 : 1,651,029.75 = 1,651,029.75 : x
  2. Step 2: Convert to fraction form
    814,603.50/1,651,029.75 = 1,651,029.75/x
  3. Step 3: Cross multiply
    814,603.50x = 1,651,029.75 × 1,651,029.75
  4. Step 4: Simplify right side
    814,603.50x = 2,725,899,235,385.06
  5. Step 5: Solve for x
    x = 2,725,899,235,385.06/814,603.50
  6. Step 6: Final answer
    x = 3,346,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.