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Finding the Third Proportional to 622,788.75 and 1,361,903.63

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Solution

The third proportional to 622,788.75 and 1,361,903.63 is: 2,978,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,788.75 : 1,361,903.63 = 1,361,903.63 : x
  2. Step 2: Convert to fraction form
    622,788.75/1,361,903.63 = 1,361,903.63/x
  3. Step 3: Cross multiply
    622,788.75x = 1,361,903.63 × 1,361,903.63
  4. Step 4: Simplify right side
    622,788.75x = 1,854,781,483,788.14
  5. Step 5: Solve for x
    x = 1,854,781,483,788.14/622,788.75
  6. Step 6: Final answer
    x = 2,978,187.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.