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Finding the Third Proportional to 1,586,538 and 3,425,539

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Solution

The third proportional to 1,586,538 and 3,425,539 is: 7,396,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,538 : 3,425,539 = 3,425,539 : x
  2. Step 2: Convert to fraction form
    1,586,538/3,425,539 = 3,425,539/x
  3. Step 3: Cross multiply
    1,586,538x = 3,425,539 × 3,425,539
  4. Step 4: Simplify right side
    1,586,538x = 11,734,317,440,521
  5. Step 5: Solve for x
    x = 11,734,317,440,521/1,586,538
  6. Step 6: Final answer
    x = 7,396,177.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.