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Finding the Third Proportional to 438,660 and 956,652

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Solution

The third proportional to 438,660 and 956,652 is: 2,086,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,660 : 956,652 = 956,652 : x
  2. Step 2: Convert to fraction form
    438,660/956,652 = 956,652/x
  3. Step 3: Cross multiply
    438,660x = 956,652 × 956,652
  4. Step 4: Simplify right side
    438,660x = 915,183,049,104
  5. Step 5: Solve for x
    x = 915,183,049,104/438,660
  6. Step 6: Final answer
    x = 2,086,315.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.