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Finding the Third Proportional to 407,582 and 959,022

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Solution

The third proportional to 407,582 and 959,022 is: 2,256,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,582 : 959,022 = 959,022 : x
  2. Step 2: Convert to fraction form
    407,582/959,022 = 959,022/x
  3. Step 3: Cross multiply
    407,582x = 959,022 × 959,022
  4. Step 4: Simplify right side
    407,582x = 919,723,196,484
  5. Step 5: Solve for x
    x = 919,723,196,484/407,582
  6. Step 6: Final answer
    x = 2,256,535.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.