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Finding the Third Proportional to 1,161,172 and 1,707,611

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Solution

The third proportional to 1,161,172 and 1,707,611 is: 2,511,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,172 : 1,707,611 = 1,707,611 : x
  2. Step 2: Convert to fraction form
    1,161,172/1,707,611 = 1,707,611/x
  3. Step 3: Cross multiply
    1,161,172x = 1,707,611 × 1,707,611
  4. Step 4: Simplify right side
    1,161,172x = 2,915,935,327,321
  5. Step 5: Solve for x
    x = 2,915,935,327,321/1,161,172
  6. Step 6: Final answer
    x = 2,511,200.17

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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.