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Finding the Third Proportional to 1,449,306 and 3,148,342

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Solution

The third proportional to 1,449,306 and 3,148,342 is: 6,839,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,306 : 3,148,342 = 3,148,342 : x
  2. Step 2: Convert to fraction form
    1,449,306/3,148,342 = 3,148,342/x
  3. Step 3: Cross multiply
    1,449,306x = 3,148,342 × 3,148,342
  4. Step 4: Simplify right side
    1,449,306x = 9,912,057,348,964
  5. Step 5: Solve for x
    x = 9,912,057,348,964/1,449,306
  6. Step 6: Final answer
    x = 6,839,174.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.