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Finding the Third Proportional to 1,449,738 and 3,109,428

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Solution

The third proportional to 1,449,738 and 3,109,428 is: 6,669,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,738 : 3,109,428 = 3,109,428 : x
  2. Step 2: Convert to fraction form
    1,449,738/3,109,428 = 3,109,428/x
  3. Step 3: Cross multiply
    1,449,738x = 3,109,428 × 3,109,428
  4. Step 4: Simplify right side
    1,449,738x = 9,668,542,487,184
  5. Step 5: Solve for x
    x = 9,668,542,487,184/1,449,738
  6. Step 6: Final answer
    x = 6,669,165.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.