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Finding the Third Proportional to 438,921 and 943,313

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Solution

The third proportional to 438,921 and 943,313 is: 2,027,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,921 : 943,313 = 943,313 : x
  2. Step 2: Convert to fraction form
    438,921/943,313 = 943,313/x
  3. Step 3: Cross multiply
    438,921x = 943,313 × 943,313
  4. Step 4: Simplify right side
    438,921x = 889,839,415,969
  5. Step 5: Solve for x
    x = 889,839,415,969/438,921
  6. Step 6: Final answer
    x = 2,027,333.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.