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Finding the Third Proportional to 825,799 and 1,223,349

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Solution

The third proportional to 825,799 and 1,223,349 is: 1,812,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,799 : 1,223,349 = 1,223,349 : x
  2. Step 2: Convert to fraction form
    825,799/1,223,349 = 1,223,349/x
  3. Step 3: Cross multiply
    825,799x = 1,223,349 × 1,223,349
  4. Step 4: Simplify right side
    825,799x = 1,496,582,775,801
  5. Step 5: Solve for x
    x = 1,496,582,775,801/825,799
  6. Step 6: Final answer
    x = 1,812,284.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.