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Finding the Third Proportional to 705,812 and 1,665,910

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Solution

The third proportional to 705,812 and 1,665,910 is: 3,932,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,812 : 1,665,910 = 1,665,910 : x
  2. Step 2: Convert to fraction form
    705,812/1,665,910 = 1,665,910/x
  3. Step 3: Cross multiply
    705,812x = 1,665,910 × 1,665,910
  4. Step 4: Simplify right side
    705,812x = 2,775,256,128,100
  5. Step 5: Solve for x
    x = 2,775,256,128,100/705,812
  6. Step 6: Final answer
    x = 3,932,004.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.