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Finding the Third Proportional to 433,767 and 920,022

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Solution

The third proportional to 433,767 and 920,022 is: 1,951,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,767 : 920,022 = 920,022 : x
  2. Step 2: Convert to fraction form
    433,767/920,022 = 920,022/x
  3. Step 3: Cross multiply
    433,767x = 920,022 × 920,022
  4. Step 4: Simplify right side
    433,767x = 846,440,480,484
  5. Step 5: Solve for x
    x = 846,440,480,484/433,767
  6. Step 6: Final answer
    x = 1,951,371.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.