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Finding the Third Proportional to 631,744 and 1,368,464

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Solution

The third proportional to 631,744 and 1,368,464 is: 2,964,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,744 : 1,368,464 = 1,368,464 : x
  2. Step 2: Convert to fraction form
    631,744/1,368,464 = 1,368,464/x
  3. Step 3: Cross multiply
    631,744x = 1,368,464 × 1,368,464
  4. Step 4: Simplify right side
    631,744x = 1,872,693,719,296
  5. Step 5: Solve for x
    x = 1,872,693,719,296/631,744
  6. Step 6: Final answer
    x = 2,964,323.71

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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.