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Finding the Third Proportional to 607,296 and 906,036

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Solution

The third proportional to 607,296 and 906,036 is: 1,351,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,296 : 906,036 = 906,036 : x
  2. Step 2: Convert to fraction form
    607,296/906,036 = 906,036/x
  3. Step 3: Cross multiply
    607,296x = 906,036 × 906,036
  4. Step 4: Simplify right side
    607,296x = 820,901,233,296
  5. Step 5: Solve for x
    x = 820,901,233,296/607,296
  6. Step 6: Final answer
    x = 1,351,731.67

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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.