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Finding the Third Proportional to 851,782.50 and 1,876,398.75

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Solution

The third proportional to 851,782.50 and 1,876,398.75 is: 4,133,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,782.50 : 1,876,398.75 = 1,876,398.75 : x
  2. Step 2: Convert to fraction form
    851,782.50/1,876,398.75 = 1,876,398.75/x
  3. Step 3: Cross multiply
    851,782.50x = 1,876,398.75 × 1,876,398.75
  4. Step 4: Simplify right side
    851,782.50x = 3,520,872,269,001.56
  5. Step 5: Solve for x
    x = 3,520,872,269,001.56/851,782.50
  6. Step 6: Final answer
    x = 4,133,534.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.