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Finding the Third Proportional to 412,454 and 873,724

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Solution

The third proportional to 412,454 and 873,724 is: 1,850,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,454 : 873,724 = 873,724 : x
  2. Step 2: Convert to fraction form
    412,454/873,724 = 873,724/x
  3. Step 3: Cross multiply
    412,454x = 873,724 × 873,724
  4. Step 4: Simplify right side
    412,454x = 763,393,628,176
  5. Step 5: Solve for x
    x = 763,393,628,176/412,454
  6. Step 6: Final answer
    x = 1,850,857.62

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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.