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Finding the Third Proportional to 438,984 and 943,470

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Solution

The third proportional to 438,984 and 943,470 is: 2,027,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,984 : 943,470 = 943,470 : x
  2. Step 2: Convert to fraction form
    438,984/943,470 = 943,470/x
  3. Step 3: Cross multiply
    438,984x = 943,470 × 943,470
  4. Step 4: Simplify right side
    438,984x = 890,135,640,900
  5. Step 5: Solve for x
    x = 890,135,640,900/438,984
  6. Step 6: Final answer
    x = 2,027,717.73

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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.