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Finding the Third Proportional to 445,995 and 961,974

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Solution

The third proportional to 445,995 and 961,974 is: 2,074,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,995 : 961,974 = 961,974 : x
  2. Step 2: Convert to fraction form
    445,995/961,974 = 961,974/x
  3. Step 3: Cross multiply
    445,995x = 961,974 × 961,974
  4. Step 4: Simplify right side
    445,995x = 925,393,976,676
  5. Step 5: Solve for x
    x = 925,393,976,676/445,995
  6. Step 6: Final answer
    x = 2,074,897.65

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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.