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Finding the Third Proportional to 814,027.50 and 1,650,222

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Solution

The third proportional to 814,027.50 and 1,650,222 is: 3,345,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,027.50 : 1,650,222 = 1,650,222 : x
  2. Step 2: Convert to fraction form
    814,027.50/1,650,222 = 1,650,222/x
  3. Step 3: Cross multiply
    814,027.50x = 1,650,222 × 1,650,222
  4. Step 4: Simplify right side
    814,027.50x = 2,723,232,649,284
  5. Step 5: Solve for x
    x = 2,723,232,649,284/814,027.50
  6. Step 6: Final answer
    x = 3,345,381.64

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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.