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Finding the Third Proportional to 608,928 and 927,754

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Solution

The third proportional to 608,928 and 927,754 is: 1,413,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,928 : 927,754 = 927,754 : x
  2. Step 2: Convert to fraction form
    608,928/927,754 = 927,754/x
  3. Step 3: Cross multiply
    608,928x = 927,754 × 927,754
  4. Step 4: Simplify right side
    608,928x = 860,727,484,516
  5. Step 5: Solve for x
    x = 860,727,484,516/608,928
  6. Step 6: Final answer
    x = 1,413,512.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.