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Finding the Third Proportional to 980,216.81 and 2,123,279.63

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Solution

The third proportional to 980,216.81 and 2,123,279.63 is: 4,599,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,216.81 : 2,123,279.63 = 2,123,279.63 : x
  2. Step 2: Convert to fraction form
    980,216.81/2,123,279.63 = 2,123,279.63/x
  3. Step 3: Cross multiply
    980,216.81x = 2,123,279.63 × 2,123,279.63
  4. Step 4: Simplify right side
    980,216.81x = 4,508,316,365,940.14
  5. Step 5: Solve for x
    x = 4,508,316,365,940.14/980,216.81
  6. Step 6: Final answer
    x = 4,599,305.28

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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.