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Finding the Third Proportional to 370,494 and 797,121

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Solution

The third proportional to 370,494 and 797,121 is: 1,715,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,494 : 797,121 = 797,121 : x
  2. Step 2: Convert to fraction form
    370,494/797,121 = 797,121/x
  3. Step 3: Cross multiply
    370,494x = 797,121 × 797,121
  4. Step 4: Simplify right side
    370,494x = 635,401,888,641
  5. Step 5: Solve for x
    x = 635,401,888,641/370,494
  6. Step 6: Final answer
    x = 1,715,012.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.