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Finding the Third Proportional to 829,560.75 and 1,261,659

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Solution

The third proportional to 829,560.75 and 1,261,659 is: 1,918,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,560.75 : 1,261,659 = 1,261,659 : x
  2. Step 2: Convert to fraction form
    829,560.75/1,261,659 = 1,261,659/x
  3. Step 3: Cross multiply
    829,560.75x = 1,261,659 × 1,261,659
  4. Step 4: Simplify right side
    829,560.75x = 1,591,783,432,281
  5. Step 5: Solve for x
    x = 1,591,783,432,281/829,560.75
  6. Step 6: Final answer
    x = 1,918,826.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.