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Finding the Third Proportional to 766,715 and 1,631,782

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Solution

The third proportional to 766,715 and 1,631,782 is: 3,472,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,715 : 1,631,782 = 1,631,782 : x
  2. Step 2: Convert to fraction form
    766,715/1,631,782 = 1,631,782/x
  3. Step 3: Cross multiply
    766,715x = 1,631,782 × 1,631,782
  4. Step 4: Simplify right side
    766,715x = 2,662,712,495,524
  5. Step 5: Solve for x
    x = 2,662,712,495,524/766,715
  6. Step 6: Final answer
    x = 3,472,884.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.