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Finding the Third Proportional to 625,781.25 and 1,340,133.75

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Solution

The third proportional to 625,781.25 and 1,340,133.75 is: 2,869,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,781.25 : 1,340,133.75 = 1,340,133.75 : x
  2. Step 2: Convert to fraction form
    625,781.25/1,340,133.75 = 1,340,133.75/x
  3. Step 3: Cross multiply
    625,781.25x = 1,340,133.75 × 1,340,133.75
  4. Step 4: Simplify right side
    625,781.25x = 1,795,958,467,889.06
  5. Step 5: Solve for x
    x = 1,795,958,467,889.06/625,781.25
  6. Step 6: Final answer
    x = 2,869,946.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.