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Finding the Third Proportional to 773,969 and 1,641,586.50

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Solution

The third proportional to 773,969 and 1,641,586.50 is: 3,481,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,969 : 1,641,586.50 = 1,641,586.50 : x
  2. Step 2: Convert to fraction form
    773,969/1,641,586.50 = 1,641,586.50/x
  3. Step 3: Cross multiply
    773,969x = 1,641,586.50 × 1,641,586.50
  4. Step 4: Simplify right side
    773,969x = 2,694,806,236,982.25
  5. Step 5: Solve for x
    x = 2,694,806,236,982.25/773,969
  6. Step 6: Final answer
    x = 3,481,801.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.