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Finding the Third Proportional to 437,646 and 949,984.50

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Solution

The third proportional to 437,646 and 949,984.50 is: 2,062,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,646 : 949,984.50 = 949,984.50 : x
  2. Step 2: Convert to fraction form
    437,646/949,984.50 = 949,984.50/x
  3. Step 3: Cross multiply
    437,646x = 949,984.50 × 949,984.50
  4. Step 4: Simplify right side
    437,646x = 902,470,550,240.25
  5. Step 5: Solve for x
    x = 902,470,550,240.25/437,646
  6. Step 6: Final answer
    x = 2,062,101.68

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