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Finding the Third Proportional to 607,456 and 929,568

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Solution

The third proportional to 607,456 and 929,568 is: 1,422,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,456 : 929,568 = 929,568 : x
  2. Step 2: Convert to fraction form
    607,456/929,568 = 929,568/x
  3. Step 3: Cross multiply
    607,456x = 929,568 × 929,568
  4. Step 4: Simplify right side
    607,456x = 864,096,666,624
  5. Step 5: Solve for x
    x = 864,096,666,624/607,456
  6. Step 6: Final answer
    x = 1,422,484.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.