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Finding the Third Proportional to 650,115 and 1,566,229.50

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Solution

The third proportional to 650,115 and 1,566,229.50 is: 3,773,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,115 : 1,566,229.50 = 1,566,229.50 : x
  2. Step 2: Convert to fraction form
    650,115/1,566,229.50 = 1,566,229.50/x
  3. Step 3: Cross multiply
    650,115x = 1,566,229.50 × 1,566,229.50
  4. Step 4: Simplify right side
    650,115x = 2,453,074,846,670.25
  5. Step 5: Solve for x
    x = 2,453,074,846,670.25/650,115
  6. Step 6: Final answer
    x = 3,773,293.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.