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Finding the Third Proportional to 964,720.13 and 2,109,381.75

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Solution

The third proportional to 964,720.13 and 2,109,381.75 is: 4,612,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,720.13 : 2,109,381.75 = 2,109,381.75 : x
  2. Step 2: Convert to fraction form
    964,720.13/2,109,381.75 = 2,109,381.75/x
  3. Step 3: Cross multiply
    964,720.13x = 2,109,381.75 × 2,109,381.75
  4. Step 4: Simplify right side
    964,720.13x = 4,449,491,367,233.06
  5. Step 5: Solve for x
    x = 4,449,491,367,233.06/964,720.13
  6. Step 6: Final answer
    x = 4,612,209.54

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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.