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Finding the Third Proportional to 609,565.50 and 1,334,745.84

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Solution

The third proportional to 609,565.50 and 1,334,745.84 is: 2,922,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,565.50 : 1,334,745.84 = 1,334,745.84 : x
  2. Step 2: Convert to fraction form
    609,565.50/1,334,745.84 = 1,334,745.84/x
  3. Step 3: Cross multiply
    609,565.50x = 1,334,745.84 × 1,334,745.84
  4. Step 4: Simplify right side
    609,565.50x = 1,781,546,467,407.90
  5. Step 5: Solve for x
    x = 1,781,546,467,407.90/609,565.50
  6. Step 6: Final answer
    x = 2,922,649.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.