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Finding the Third Proportional to 449,723 and 957,708

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Solution

The third proportional to 449,723 and 957,708 is: 2,039,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,723 : 957,708 = 957,708 : x
  2. Step 2: Convert to fraction form
    449,723/957,708 = 957,708/x
  3. Step 3: Cross multiply
    449,723x = 957,708 × 957,708
  4. Step 4: Simplify right side
    449,723x = 917,204,613,264
  5. Step 5: Solve for x
    x = 917,204,613,264/449,723
  6. Step 6: Final answer
    x = 2,039,487.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.