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Finding the Third Proportional to 1,629,281.25 and 2,278,918.13

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Solution

The third proportional to 1,629,281.25 and 2,278,918.13 is: 3,187,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,281.25 : 2,278,918.13 = 2,278,918.13 : x
  2. Step 2: Convert to fraction form
    1,629,281.25/2,278,918.13 = 2,278,918.13/x
  3. Step 3: Cross multiply
    1,629,281.25x = 2,278,918.13 × 2,278,918.13
  4. Step 4: Simplify right side
    1,629,281.25x = 5,193,467,820,453.52
  5. Step 5: Solve for x
    x = 5,193,467,820,453.52/1,629,281.25
  6. Step 6: Final answer
    x = 3,187,582.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.