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Finding the Third Proportional to 633,101.25 and 1,386,272.63

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Solution

The third proportional to 633,101.25 and 1,386,272.63 is: 3,035,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,101.25 : 1,386,272.63 = 1,386,272.63 : x
  2. Step 2: Convert to fraction form
    633,101.25/1,386,272.63 = 1,386,272.63/x
  3. Step 3: Cross multiply
    633,101.25x = 1,386,272.63 × 1,386,272.63
  4. Step 4: Simplify right side
    633,101.25x = 1,921,751,790,824.39
  5. Step 5: Solve for x
    x = 1,921,751,790,824.39/633,101.25
  6. Step 6: Final answer
    x = 3,035,457.27

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