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Finding the Third Proportional to 938,331.21 and 2,048,683.64

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Solution

The third proportional to 938,331.21 and 2,048,683.64 is: 4,472,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,331.21 : 2,048,683.64 = 2,048,683.64 : x
  2. Step 2: Convert to fraction form
    938,331.21/2,048,683.64 = 2,048,683.64/x
  3. Step 3: Cross multiply
    938,331.21x = 2,048,683.64 × 2,048,683.64
  4. Step 4: Simplify right side
    938,331.21x = 4,197,104,659,364.50
  5. Step 5: Solve for x
    x = 4,197,104,659,364.50/938,331.21
  6. Step 6: Final answer
    x = 4,472,945.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.