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Finding the Third Proportional to 1,500,678 and 3,285,963

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Solution

The third proportional to 1,500,678 and 3,285,963 is: 7,195,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,678 : 3,285,963 = 3,285,963 : x
  2. Step 2: Convert to fraction form
    1,500,678/3,285,963 = 3,285,963/x
  3. Step 3: Cross multiply
    1,500,678x = 3,285,963 × 3,285,963
  4. Step 4: Simplify right side
    1,500,678x = 10,797,552,837,369
  5. Step 5: Solve for x
    x = 10,797,552,837,369/1,500,678
  6. Step 6: Final answer
    x = 7,195,116.37

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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.