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Finding the Third Proportional to 1,161,120 and 1,707,538

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Solution

The third proportional to 1,161,120 and 1,707,538 is: 2,511,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,120 : 1,707,538 = 1,707,538 : x
  2. Step 2: Convert to fraction form
    1,161,120/1,707,538 = 1,707,538/x
  3. Step 3: Cross multiply
    1,161,120x = 1,707,538 × 1,707,538
  4. Step 4: Simplify right side
    1,161,120x = 2,915,686,021,444
  5. Step 5: Solve for x
    x = 2,915,686,021,444/1,161,120
  6. Step 6: Final answer
    x = 2,511,097.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.