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Finding the Third Proportional to 445,295 and 906,142

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Solution

The third proportional to 445,295 and 906,142 is: 1,843,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,295 : 906,142 = 906,142 : x
  2. Step 2: Convert to fraction form
    445,295/906,142 = 906,142/x
  3. Step 3: Cross multiply
    445,295x = 906,142 × 906,142
  4. Step 4: Simplify right side
    445,295x = 821,093,324,164
  5. Step 5: Solve for x
    x = 821,093,324,164/445,295
  6. Step 6: Final answer
    x = 1,843,931.16

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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.