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Finding the Third Proportional to 851,784.75 and 1,876,403.25

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Solution

The third proportional to 851,784.75 and 1,876,403.25 is: 4,133,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,784.75 : 1,876,403.25 = 1,876,403.25 : x
  2. Step 2: Convert to fraction form
    851,784.75/1,876,403.25 = 1,876,403.25/x
  3. Step 3: Cross multiply
    851,784.75x = 1,876,403.25 × 1,876,403.25
  4. Step 4: Simplify right side
    851,784.75x = 3,520,889,156,610.56
  5. Step 5: Solve for x
    x = 3,520,889,156,610.56/851,784.75
  6. Step 6: Final answer
    x = 4,133,543.31

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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.