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Finding the Third Proportional to 1,421,469 and 3,108,663

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Solution

The third proportional to 1,421,469 and 3,108,663 is: 6,798,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,469 : 3,108,663 = 3,108,663 : x
  2. Step 2: Convert to fraction form
    1,421,469/3,108,663 = 3,108,663/x
  3. Step 3: Cross multiply
    1,421,469x = 3,108,663 × 3,108,663
  4. Step 4: Simplify right side
    1,421,469x = 9,663,785,647,569
  5. Step 5: Solve for x
    x = 9,663,785,647,569/1,421,469
  6. Step 6: Final answer
    x = 6,798,449.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.