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Finding the Third Proportional to 445,302 and 906,156

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Solution

The third proportional to 445,302 and 906,156 is: 1,843,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,302 : 906,156 = 906,156 : x
  2. Step 2: Convert to fraction form
    445,302/906,156 = 906,156/x
  3. Step 3: Cross multiply
    445,302x = 906,156 × 906,156
  4. Step 4: Simplify right side
    445,302x = 821,118,696,336
  5. Step 5: Solve for x
    x = 821,118,696,336/445,302
  6. Step 6: Final answer
    x = 1,843,959.15

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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.