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Finding the Third Proportional to 457,713 and 957,253

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Solution

The third proportional to 457,713 and 957,253 is: 2,001,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,713 : 957,253 = 957,253 : x
  2. Step 2: Convert to fraction form
    457,713/957,253 = 957,253/x
  3. Step 3: Cross multiply
    457,713x = 957,253 × 957,253
  4. Step 4: Simplify right side
    457,713x = 916,333,306,009
  5. Step 5: Solve for x
    x = 916,333,306,009/457,713
  6. Step 6: Final answer
    x = 2,001,982.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.