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Finding the Third Proportional to 778,025.25 and 1,183,030.31

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Solution

The third proportional to 778,025.25 and 1,183,030.31 is: 1,798,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,025.25 : 1,183,030.31 = 1,183,030.31 : x
  2. Step 2: Convert to fraction form
    778,025.25/1,183,030.31 = 1,183,030.31/x
  3. Step 3: Cross multiply
    778,025.25x = 1,183,030.31 × 1,183,030.31
  4. Step 4: Simplify right side
    778,025.25x = 1,399,560,720,293.85
  5. Step 5: Solve for x
    x = 1,399,560,720,293.85/778,025.25
  6. Step 6: Final answer
    x = 1,798,862.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.