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Finding the Third Proportional to 3,231,250 and 6,796,772

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Solution

The third proportional to 3,231,250 and 6,796,772 is: 14,296,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,250 : 6,796,772 = 6,796,772 : x
  2. Step 2: Convert to fraction form
    3,231,250/6,796,772 = 6,796,772/x
  3. Step 3: Cross multiply
    3,231,250x = 6,796,772 × 6,796,772
  4. Step 4: Simplify right side
    3,231,250x = 46,196,109,619,984
  5. Step 5: Solve for x
    x = 46,196,109,619,984/3,231,250
  6. Step 6: Final answer
    x = 14,296,668.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.