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Finding the Third Proportional to 671,928 and 968,148

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Solution

The third proportional to 671,928 and 968,148 is: 1,394,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,928 : 968,148 = 968,148 : x
  2. Step 2: Convert to fraction form
    671,928/968,148 = 968,148/x
  3. Step 3: Cross multiply
    671,928x = 968,148 × 968,148
  4. Step 4: Simplify right side
    671,928x = 937,310,549,904
  5. Step 5: Solve for x
    x = 937,310,549,904/671,928
  6. Step 6: Final answer
    x = 1,394,956.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.