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Finding the Third Proportional to 1,416,131.25 and 2,135,952

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Solution

The third proportional to 1,416,131.25 and 2,135,952 is: 3,221,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,131.25 : 2,135,952 = 2,135,952 : x
  2. Step 2: Convert to fraction form
    1,416,131.25/2,135,952 = 2,135,952/x
  3. Step 3: Cross multiply
    1,416,131.25x = 2,135,952 × 2,135,952
  4. Step 4: Simplify right side
    1,416,131.25x = 4,562,290,946,304
  5. Step 5: Solve for x
    x = 4,562,290,946,304/1,416,131.25
  6. Step 6: Final answer
    x = 3,221,658.27

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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.