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Finding the Third Proportional to 941,738 and 2,034,364

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Solution

The third proportional to 941,738 and 2,034,364 is: 4,394,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,738 : 2,034,364 = 2,034,364 : x
  2. Step 2: Convert to fraction form
    941,738/2,034,364 = 2,034,364/x
  3. Step 3: Cross multiply
    941,738x = 2,034,364 × 2,034,364
  4. Step 4: Simplify right side
    941,738x = 4,138,636,884,496
  5. Step 5: Solve for x
    x = 4,138,636,884,496/941,738
  6. Step 6: Final answer
    x = 4,394,679.71

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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.