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Finding the Third Proportional to 1,107,396 and 1,683,489

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Solution

The third proportional to 1,107,396 and 1,683,489 is: 2,559,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,396 : 1,683,489 = 1,683,489 : x
  2. Step 2: Convert to fraction form
    1,107,396/1,683,489 = 1,683,489/x
  3. Step 3: Cross multiply
    1,107,396x = 1,683,489 × 1,683,489
  4. Step 4: Simplify right side
    1,107,396x = 2,834,135,213,121
  5. Step 5: Solve for x
    x = 2,834,135,213,121/1,107,396
  6. Step 6: Final answer
    x = 2,559,278.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.