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Finding the Third Proportional to 438,660 and 956,640

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Solution

The third proportional to 438,660 and 956,640 is: 2,086,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,660 : 956,640 = 956,640 : x
  2. Step 2: Convert to fraction form
    438,660/956,640 = 956,640/x
  3. Step 3: Cross multiply
    438,660x = 956,640 × 956,640
  4. Step 4: Simplify right side
    438,660x = 915,160,089,600
  5. Step 5: Solve for x
    x = 915,160,089,600/438,660
  6. Step 6: Final answer
    x = 2,086,262.91

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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.