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Finding the Third Proportional to 449,128.13 and 985,209.75

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Solution

The third proportional to 449,128.13 and 985,209.75 is: 2,161,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,128.13 : 985,209.75 = 985,209.75 : x
  2. Step 2: Convert to fraction form
    449,128.13/985,209.75 = 985,209.75/x
  3. Step 3: Cross multiply
    449,128.13x = 985,209.75 × 985,209.75
  4. Step 4: Simplify right side
    449,128.13x = 970,638,251,495.06
  5. Step 5: Solve for x
    x = 970,638,251,495.06/449,128.13
  6. Step 6: Final answer
    x = 2,161,161.14

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