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Finding the Third Proportional to 446,870.25 and 993,043.13

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Solution

The third proportional to 446,870.25 and 993,043.13 is: 2,206,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,870.25 : 993,043.13 = 993,043.13 : x
  2. Step 2: Convert to fraction form
    446,870.25/993,043.13 = 993,043.13/x
  3. Step 3: Cross multiply
    446,870.25x = 993,043.13 × 993,043.13
  4. Step 4: Simplify right side
    446,870.25x = 986,134,648,109.77
  5. Step 5: Solve for x
    x = 986,134,648,109.77/446,870.25
  6. Step 6: Final answer
    x = 2,206,758.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.