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Finding the Third Proportional to 631,243.13 and 1,362,131.44

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Solution

The third proportional to 631,243.13 and 1,362,131.44 is: 2,939,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,243.13 : 1,362,131.44 = 1,362,131.44 : x
  2. Step 2: Convert to fraction form
    631,243.13/1,362,131.44 = 1,362,131.44/x
  3. Step 3: Cross multiply
    631,243.13x = 1,362,131.44 × 1,362,131.44
  4. Step 4: Simplify right side
    631,243.13x = 1,855,402,053,025.82
  5. Step 5: Solve for x
    x = 1,855,402,053,025.82/631,243.13
  6. Step 6: Final answer
    x = 2,939,282.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.