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Finding the Third Proportional to 1,796,864.63 and 3,896,902.13

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Solution

The third proportional to 1,796,864.63 and 3,896,902.13 is: 8,451,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,864.63 : 3,896,902.13 = 3,896,902.13 : x
  2. Step 2: Convert to fraction form
    1,796,864.63/3,896,902.13 = 3,896,902.13/x
  3. Step 3: Cross multiply
    1,796,864.63x = 3,896,902.13 × 3,896,902.13
  4. Step 4: Simplify right side
    1,796,864.63x = 15,185,846,171,829.52
  5. Step 5: Solve for x
    x = 15,185,846,171,829.52/1,796,864.63
  6. Step 6: Final answer
    x = 8,451,302.32

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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.