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Finding the Third Proportional to 449,114.63 and 974,517.75

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Solution

The third proportional to 449,114.63 and 974,517.75 is: 2,114,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,114.63 : 974,517.75 = 974,517.75 : x
  2. Step 2: Convert to fraction form
    449,114.63/974,517.75 = 974,517.75/x
  3. Step 3: Cross multiply
    449,114.63x = 974,517.75 × 974,517.75
  4. Step 4: Simplify right side
    449,114.63x = 949,684,845,065.06
  5. Step 5: Solve for x
    x = 949,684,845,065.06/449,114.63
  6. Step 6: Final answer
    x = 2,114,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.