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Finding the Third Proportional to 445,990 and 961,964

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Solution

The third proportional to 445,990 and 961,964 is: 2,074,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,990 : 961,964 = 961,964 : x
  2. Step 2: Convert to fraction form
    445,990/961,964 = 961,964/x
  3. Step 3: Cross multiply
    445,990x = 961,964 × 961,964
  4. Step 4: Simplify right side
    445,990x = 925,374,737,296
  5. Step 5: Solve for x
    x = 925,374,737,296/445,990
  6. Step 6: Final answer
    x = 2,074,877.77

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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.