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Finding the Third Proportional to 750,629 and 1,164,027

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Solution

The third proportional to 750,629 and 1,164,027 is: 1,805,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,629 : 1,164,027 = 1,164,027 : x
  2. Step 2: Convert to fraction form
    750,629/1,164,027 = 1,164,027/x
  3. Step 3: Cross multiply
    750,629x = 1,164,027 × 1,164,027
  4. Step 4: Simplify right side
    750,629x = 1,354,958,856,729
  5. Step 5: Solve for x
    x = 1,354,958,856,729/750,629
  6. Step 6: Final answer
    x = 1,805,097.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.