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Finding the Third Proportional to 624,086 and 941,640

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Solution

The third proportional to 624,086 and 941,640 is: 1,420,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,086 : 941,640 = 941,640 : x
  2. Step 2: Convert to fraction form
    624,086/941,640 = 941,640/x
  3. Step 3: Cross multiply
    624,086x = 941,640 × 941,640
  4. Step 4: Simplify right side
    624,086x = 886,685,889,600
  5. Step 5: Solve for x
    x = 886,685,889,600/624,086
  6. Step 6: Final answer
    x = 1,420,775.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.