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Finding the Third Proportional to 1,197,728.02 and 1,810,879.66

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Solution

The third proportional to 1,197,728.02 and 1,810,879.66 is: 2,737,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,728.02 : 1,810,879.66 = 1,810,879.66 : x
  2. Step 2: Convert to fraction form
    1,197,728.02/1,810,879.66 = 1,810,879.66/x
  3. Step 3: Cross multiply
    1,197,728.02x = 1,810,879.66 × 1,810,879.66
  4. Step 4: Simplify right side
    1,197,728.02x = 3,279,285,157,715.11
  5. Step 5: Solve for x
    x = 3,279,285,157,715.11/1,197,728.02
  6. Step 6: Final answer
    x = 2,737,921.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.