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Finding the Third Proportional to 664,113.94 and 1,467,773.16

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Solution

The third proportional to 664,113.94 and 1,467,773.16 is: 3,243,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,113.94 : 1,467,773.16 = 1,467,773.16 : x
  2. Step 2: Convert to fraction form
    664,113.94/1,467,773.16 = 1,467,773.16/x
  3. Step 3: Cross multiply
    664,113.94x = 1,467,773.16 × 1,467,773.16
  4. Step 4: Simplify right side
    664,113.94x = 2,154,358,038,208.09
  5. Step 5: Solve for x
    x = 2,154,358,038,208.09/664,113.94
  6. Step 6: Final answer
    x = 3,243,958.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.