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Finding the Third Proportional to 446,766 and 906,492

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Solution

The third proportional to 446,766 and 906,492 is: 1,839,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,766 : 906,492 = 906,492 : x
  2. Step 2: Convert to fraction form
    446,766/906,492 = 906,492/x
  3. Step 3: Cross multiply
    446,766x = 906,492 × 906,492
  4. Step 4: Simplify right side
    446,766x = 821,727,746,064
  5. Step 5: Solve for x
    x = 821,727,746,064/446,766
  6. Step 6: Final answer
    x = 1,839,279.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.