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Finding the Third Proportional to 449,114 and 957,022

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Solution

The third proportional to 449,114 and 957,022 is: 2,039,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,114 : 957,022 = 957,022 : x
  2. Step 2: Convert to fraction form
    449,114/957,022 = 957,022/x
  3. Step 3: Cross multiply
    449,114x = 957,022 × 957,022
  4. Step 4: Simplify right side
    449,114x = 915,891,108,484
  5. Step 5: Solve for x
    x = 915,891,108,484/449,114
  6. Step 6: Final answer
    x = 2,039,328.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.