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Finding the Third Proportional to 659,079 and 1,027,152

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Solution

The third proportional to 659,079 and 1,027,152 is: 1,600,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,079 : 1,027,152 = 1,027,152 : x
  2. Step 2: Convert to fraction form
    659,079/1,027,152 = 1,027,152/x
  3. Step 3: Cross multiply
    659,079x = 1,027,152 × 1,027,152
  4. Step 4: Simplify right side
    659,079x = 1,055,041,231,104
  5. Step 5: Solve for x
    x = 1,055,041,231,104/659,079
  6. Step 6: Final answer
    x = 1,600,781.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.