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Finding the Third Proportional to 851,827.96 and 1,864,041.61

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Solution

The third proportional to 851,827.96 and 1,864,041.61 is: 4,079,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,827.96 : 1,864,041.61 = 1,864,041.61 : x
  2. Step 2: Convert to fraction form
    851,827.96/1,864,041.61 = 1,864,041.61/x
  3. Step 3: Cross multiply
    851,827.96x = 1,864,041.61 × 1,864,041.61
  4. Step 4: Simplify right side
    851,827.96x = 3,474,651,121,481.34
  5. Step 5: Solve for x
    x = 3,474,651,121,481.34/851,827.96
  6. Step 6: Final answer
    x = 4,079,052.69

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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.