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Finding the Third Proportional to 438,304 and 943,187

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Solution

The third proportional to 438,304 and 943,187 is: 2,029,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,304 : 943,187 = 943,187 : x
  2. Step 2: Convert to fraction form
    438,304/943,187 = 943,187/x
  3. Step 3: Cross multiply
    438,304x = 943,187 × 943,187
  4. Step 4: Simplify right side
    438,304x = 889,601,716,969
  5. Step 5: Solve for x
    x = 889,601,716,969/438,304
  6. Step 6: Final answer
    x = 2,029,645.44

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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.