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Finding the Third Proportional to 826,340.01 and 1,276,876.96

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Solution

The third proportional to 826,340.01 and 1,276,876.96 is: 1,973,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,340.01 : 1,276,876.96 = 1,276,876.96 : x
  2. Step 2: Convert to fraction form
    826,340.01/1,276,876.96 = 1,276,876.96/x
  3. Step 3: Cross multiply
    826,340.01x = 1,276,876.96 × 1,276,876.96
  4. Step 4: Simplify right side
    826,340.01x = 1,630,414,770,879.25
  5. Step 5: Solve for x
    x = 1,630,414,770,879.25/826,340.01
  6. Step 6: Final answer
    x = 1,973,055.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.