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Finding the Third Proportional to 656,864 and 988,212

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Solution

The third proportional to 656,864 and 988,212 is: 1,486,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,864 : 988,212 = 988,212 : x
  2. Step 2: Convert to fraction form
    656,864/988,212 = 988,212/x
  3. Step 3: Cross multiply
    656,864x = 988,212 × 988,212
  4. Step 4: Simplify right side
    656,864x = 976,562,956,944
  5. Step 5: Solve for x
    x = 976,562,956,944/656,864
  6. Step 6: Final answer
    x = 1,486,704.94

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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.