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Finding the Third Proportional to 1,477,192.69 and 3,213,203.06

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Solution

The third proportional to 1,477,192.69 and 3,213,203.06 is: 6,989,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,192.69 : 3,213,203.06 = 3,213,203.06 : x
  2. Step 2: Convert to fraction form
    1,477,192.69/3,213,203.06 = 3,213,203.06/x
  3. Step 3: Cross multiply
    1,477,192.69x = 3,213,203.06 × 3,213,203.06
  4. Step 4: Simplify right side
    1,477,192.69x = 10,324,673,920,859.38
  5. Step 5: Solve for x
    x = 10,324,673,920,859.38/1,477,192.69
  6. Step 6: Final answer
    x = 6,989,388.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.