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Finding the Third Proportional to 637,802.86 and 1,377,067.08

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Solution

The third proportional to 637,802.86 and 1,377,067.08 is: 2,973,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,802.86 : 1,377,067.08 = 1,377,067.08 : x
  2. Step 2: Convert to fraction form
    637,802.86/1,377,067.08 = 1,377,067.08/x
  3. Step 3: Cross multiply
    637,802.86x = 1,377,067.08 × 1,377,067.08
  4. Step 4: Simplify right side
    637,802.86x = 1,896,313,737,655.73
  5. Step 5: Solve for x
    x = 1,896,313,737,655.73/637,802.86
  6. Step 6: Final answer
    x = 2,973,197.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.