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Finding the Third Proportional to 796,616 and 1,726,031

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Solution

The third proportional to 796,616 and 1,726,031 is: 3,739,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,616 : 1,726,031 = 1,726,031 : x
  2. Step 2: Convert to fraction form
    796,616/1,726,031 = 1,726,031/x
  3. Step 3: Cross multiply
    796,616x = 1,726,031 × 1,726,031
  4. Step 4: Simplify right side
    796,616x = 2,979,183,012,961
  5. Step 5: Solve for x
    x = 2,979,183,012,961/796,616
  6. Step 6: Final answer
    x = 3,739,798.11

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Why These Related Problems?

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