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Finding the Third Proportional to 661,284 and 989,366

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Solution

The third proportional to 661,284 and 989,366 is: 1,480,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,284 : 989,366 = 989,366 : x
  2. Step 2: Convert to fraction form
    661,284/989,366 = 989,366/x
  3. Step 3: Cross multiply
    661,284x = 989,366 × 989,366
  4. Step 4: Simplify right side
    661,284x = 978,845,081,956
  5. Step 5: Solve for x
    x = 978,845,081,956/661,284
  6. Step 6: Final answer
    x = 1,480,218.91

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