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Finding the Third Proportional to 631,005 and 1,368,475

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Solution

The third proportional to 631,005 and 1,368,475 is: 2,967,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,005 : 1,368,475 = 1,368,475 : x
  2. Step 2: Convert to fraction form
    631,005/1,368,475 = 1,368,475/x
  3. Step 3: Cross multiply
    631,005x = 1,368,475 × 1,368,475
  4. Step 4: Simplify right side
    631,005x = 1,872,723,825,625
  5. Step 5: Solve for x
    x = 1,872,723,825,625/631,005
  6. Step 6: Final answer
    x = 2,967,843.08

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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.