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Finding the Third Proportional to 445,999 and 961,982

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Solution

The third proportional to 445,999 and 961,982 is: 2,074,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,999 : 961,982 = 961,982 : x
  2. Step 2: Convert to fraction form
    445,999/961,982 = 961,982/x
  3. Step 3: Cross multiply
    445,999x = 961,982 × 961,982
  4. Step 4: Simplify right side
    445,999x = 925,409,368,324
  5. Step 5: Solve for x
    x = 925,409,368,324/445,999
  6. Step 6: Final answer
    x = 2,074,913.55

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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.