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Finding the Third Proportional to 438,906 and 943,287

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Solution

The third proportional to 438,906 and 943,287 is: 2,027,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,906 : 943,287 = 943,287 : x
  2. Step 2: Convert to fraction form
    438,906/943,287 = 943,287/x
  3. Step 3: Cross multiply
    438,906x = 943,287 × 943,287
  4. Step 4: Simplify right side
    438,906x = 889,790,364,369
  5. Step 5: Solve for x
    x = 889,790,364,369/438,906
  6. Step 6: Final answer
    x = 2,027,291.41

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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.