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Finding the Third Proportional to 826,764.47 and 1,771,626.94

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Solution

The third proportional to 826,764.47 and 1,771,626.94 is: 3,796,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,764.47 : 1,771,626.94 = 1,771,626.94 : x
  2. Step 2: Convert to fraction form
    826,764.47/1,771,626.94 = 1,771,626.94/x
  3. Step 3: Cross multiply
    826,764.47x = 1,771,626.94 × 1,771,626.94
  4. Step 4: Simplify right side
    826,764.47x = 3,138,662,005,675.63
  5. Step 5: Solve for x
    x = 3,138,662,005,675.63/826,764.47
  6. Step 6: Final answer
    x = 3,796,319.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.