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Finding the Third Proportional to 665,960 and 1,081,984

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Solution

The third proportional to 665,960 and 1,081,984 is: 1,757,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,960 : 1,081,984 = 1,081,984 : x
  2. Step 2: Convert to fraction form
    665,960/1,081,984 = 1,081,984/x
  3. Step 3: Cross multiply
    665,960x = 1,081,984 × 1,081,984
  4. Step 4: Simplify right side
    665,960x = 1,170,689,376,256
  5. Step 5: Solve for x
    x = 1,170,689,376,256/665,960
  6. Step 6: Final answer
    x = 1,757,897.44

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.