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Finding the Third Proportional to 610,833.66 and 1,302,791.34

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Solution

The third proportional to 610,833.66 and 1,302,791.34 is: 2,778,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,833.66 : 1,302,791.34 = 1,302,791.34 : x
  2. Step 2: Convert to fraction form
    610,833.66/1,302,791.34 = 1,302,791.34/x
  3. Step 3: Cross multiply
    610,833.66x = 1,302,791.34 × 1,302,791.34
  4. Step 4: Simplify right side
    610,833.66x = 1,697,265,285,349.93
  5. Step 5: Solve for x
    x = 1,697,265,285,349.93/610,833.66
  6. Step 6: Final answer
    x = 2,778,604.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.