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Finding the Third Proportional to 580,826 and 1,250,650

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Solution

The third proportional to 580,826 and 1,250,650 is: 2,692,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,826 : 1,250,650 = 1,250,650 : x
  2. Step 2: Convert to fraction form
    580,826/1,250,650 = 1,250,650/x
  3. Step 3: Cross multiply
    580,826x = 1,250,650 × 1,250,650
  4. Step 4: Simplify right side
    580,826x = 1,564,125,422,500
  5. Step 5: Solve for x
    x = 1,564,125,422,500/580,826
  6. Step 6: Final answer
    x = 2,692,932.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.