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Finding the Third Proportional to 717,606 and 974,997

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Solution

The third proportional to 717,606 and 974,997 is: 1,324,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,606 : 974,997 = 974,997 : x
  2. Step 2: Convert to fraction form
    717,606/974,997 = 974,997/x
  3. Step 3: Cross multiply
    717,606x = 974,997 × 974,997
  4. Step 4: Simplify right side
    717,606x = 950,619,150,009
  5. Step 5: Solve for x
    x = 950,619,150,009/717,606
  6. Step 6: Final answer
    x = 1,324,709.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.