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Finding the Third Proportional to 2,583,370.50 and 5,659,221

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Solution

The third proportional to 2,583,370.50 and 5,659,221 is: 12,397,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,370.50 : 5,659,221 = 5,659,221 : x
  2. Step 2: Convert to fraction form
    2,583,370.50/5,659,221 = 5,659,221/x
  3. Step 3: Cross multiply
    2,583,370.50x = 5,659,221 × 5,659,221
  4. Step 4: Simplify right side
    2,583,370.50x = 32,026,782,326,841
  5. Step 5: Solve for x
    x = 32,026,782,326,841/2,583,370.50
  6. Step 6: Final answer
    x = 12,397,285.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.