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Finding the Third Proportional to 961,934 and 2,057,260

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Solution

The third proportional to 961,934 and 2,057,260 is: 4,399,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,934 : 2,057,260 = 2,057,260 : x
  2. Step 2: Convert to fraction form
    961,934/2,057,260 = 2,057,260/x
  3. Step 3: Cross multiply
    961,934x = 2,057,260 × 2,057,260
  4. Step 4: Simplify right side
    961,934x = 4,232,318,707,600
  5. Step 5: Solve for x
    x = 4,232,318,707,600/961,934
  6. Step 6: Final answer
    x = 4,399,801.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.