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Finding the Third Proportional to 652,021.31 and 1,400,451.19

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Solution

The third proportional to 652,021.31 and 1,400,451.19 is: 3,007,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,021.31 : 1,400,451.19 = 1,400,451.19 : x
  2. Step 2: Convert to fraction form
    652,021.31/1,400,451.19 = 1,400,451.19/x
  3. Step 3: Cross multiply
    652,021.31x = 1,400,451.19 × 1,400,451.19
  4. Step 4: Simplify right side
    652,021.31x = 1,961,263,528,570.16
  5. Step 5: Solve for x
    x = 1,961,263,528,570.16/652,021.31
  6. Step 6: Final answer
    x = 3,007,974.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.