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Finding the Third Proportional to 607,864 and 1,407,096

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Solution

The third proportional to 607,864 and 1,407,096 is: 3,257,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,864 : 1,407,096 = 1,407,096 : x
  2. Step 2: Convert to fraction form
    607,864/1,407,096 = 1,407,096/x
  3. Step 3: Cross multiply
    607,864x = 1,407,096 × 1,407,096
  4. Step 4: Simplify right side
    607,864x = 1,979,919,153,216
  5. Step 5: Solve for x
    x = 1,979,919,153,216/607,864
  6. Step 6: Final answer
    x = 3,257,174.55

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.