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Finding the Third Proportional to 657,647.44 and 1,413,198.56

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Solution

The third proportional to 657,647.44 and 1,413,198.56 is: 3,036,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,647.44 : 1,413,198.56 = 1,413,198.56 : x
  2. Step 2: Convert to fraction form
    657,647.44/1,413,198.56 = 1,413,198.56/x
  3. Step 3: Cross multiply
    657,647.44x = 1,413,198.56 × 1,413,198.56
  4. Step 4: Simplify right side
    657,647.44x = 1,997,130,177,052.07
  5. Step 5: Solve for x
    x = 1,997,130,177,052.07/657,647.44
  6. Step 6: Final answer
    x = 3,036,779.38

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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.