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Finding the Third Proportional to 948,736.13 and 2,082,053.53

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Solution

The third proportional to 948,736.13 and 2,082,053.53 is: 4,569,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,736.13 : 2,082,053.53 = 2,082,053.53 : x
  2. Step 2: Convert to fraction form
    948,736.13/2,082,053.53 = 2,082,053.53/x
  3. Step 3: Cross multiply
    948,736.13x = 2,082,053.53 × 2,082,053.53
  4. Step 4: Simplify right side
    948,736.13x = 4,334,946,906,990.60
  5. Step 5: Solve for x
    x = 4,334,946,906,990.60/948,736.13
  6. Step 6: Final answer
    x = 4,569,180.82

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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.