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Finding the Third Proportional to 433,962 and 938,110

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Solution

The third proportional to 433,962 and 938,110 is: 2,027,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,962 : 938,110 = 938,110 : x
  2. Step 2: Convert to fraction form
    433,962/938,110 = 938,110/x
  3. Step 3: Cross multiply
    433,962x = 938,110 × 938,110
  4. Step 4: Simplify right side
    433,962x = 880,050,372,100
  5. Step 5: Solve for x
    x = 880,050,372,100/433,962
  6. Step 6: Final answer
    x = 2,027,943.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.