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Finding the Third Proportional to 648,999 and 968,112

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Solution

The third proportional to 648,999 and 968,112 is: 1,444,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,999 : 968,112 = 968,112 : x
  2. Step 2: Convert to fraction form
    648,999/968,112 = 968,112/x
  3. Step 3: Cross multiply
    648,999x = 968,112 × 968,112
  4. Step 4: Simplify right side
    648,999x = 937,240,844,544
  5. Step 5: Solve for x
    x = 937,240,844,544/648,999
  6. Step 6: Final answer
    x = 1,444,132.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.