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Finding the Third Proportional to 814,284 and 1,650,433.50

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Solution

The third proportional to 814,284 and 1,650,433.50 is: 3,345,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,284 : 1,650,433.50 = 1,650,433.50 : x
  2. Step 2: Convert to fraction form
    814,284/1,650,433.50 = 1,650,433.50/x
  3. Step 3: Cross multiply
    814,284x = 1,650,433.50 × 1,650,433.50
  4. Step 4: Simplify right side
    814,284x = 2,723,930,737,922.25
  5. Step 5: Solve for x
    x = 2,723,930,737,922.25/814,284
  6. Step 6: Final answer
    x = 3,345,185.14

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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.