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Finding the Third Proportional to 775,877 and 1,164,869

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Solution

The third proportional to 775,877 and 1,164,869 is: 1,748,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,877 : 1,164,869 = 1,164,869 : x
  2. Step 2: Convert to fraction form
    775,877/1,164,869 = 1,164,869/x
  3. Step 3: Cross multiply
    775,877x = 1,164,869 × 1,164,869
  4. Step 4: Simplify right side
    775,877x = 1,356,919,787,161
  5. Step 5: Solve for x
    x = 1,356,919,787,161/775,877
  6. Step 6: Final answer
    x = 1,748,885.18

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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.