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Finding the Third Proportional to 1,241,827 and 1,821,844

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Solution

The third proportional to 1,241,827 and 1,821,844 is: 2,672,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,827 : 1,821,844 = 1,821,844 : x
  2. Step 2: Convert to fraction form
    1,241,827/1,821,844 = 1,821,844/x
  3. Step 3: Cross multiply
    1,241,827x = 1,821,844 × 1,821,844
  4. Step 4: Simplify right side
    1,241,827x = 3,319,115,560,336
  5. Step 5: Solve for x
    x = 3,319,115,560,336/1,241,827
  6. Step 6: Final answer
    x = 2,672,768.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.