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Finding the Third Proportional to 443,844.56 and 970,719.19

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Solution

The third proportional to 443,844.56 and 970,719.19 is: 2,123,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,844.56 : 970,719.19 = 970,719.19 : x
  2. Step 2: Convert to fraction form
    443,844.56/970,719.19 = 970,719.19/x
  3. Step 3: Cross multiply
    443,844.56x = 970,719.19 × 970,719.19
  4. Step 4: Simplify right side
    443,844.56x = 942,295,740,980.66
  5. Step 5: Solve for x
    x = 942,295,740,980.66/443,844.56
  6. Step 6: Final answer
    x = 2,123,030.95

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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.