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Finding the Third Proportional to 441,823,354 and 961,217,834

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Solution

The third proportional to 441,823,354 and 961,217,834 is: 2,091,197,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,823,354 : 961,217,834 = 961,217,834 : x
  2. Step 2: Convert to fraction form
    441,823,354/961,217,834 = 961,217,834/x
  3. Step 3: Cross multiply
    441,823,354x = 961,217,834 × 961,217,834
  4. Step 4: Simplify right side
    441,823,354x = 923,939,724,399,651,584
  5. Step 5: Solve for x
    x = 923,939,724,399,651,584/441,823,354
  6. Step 6: Final answer
    x = 2,091,197,117.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.