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Finding the Third Proportional to 661,244 and 989,301

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Solution

The third proportional to 661,244 and 989,301 is: 1,480,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,244 : 989,301 = 989,301 : x
  2. Step 2: Convert to fraction form
    661,244/989,301 = 989,301/x
  3. Step 3: Cross multiply
    661,244x = 989,301 × 989,301
  4. Step 4: Simplify right side
    661,244x = 978,716,468,601
  5. Step 5: Solve for x
    x = 978,716,468,601/661,244
  6. Step 6: Final answer
    x = 1,480,113.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.