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Finding the Third Proportional to 798,468 and 1,206,019

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Solution

The third proportional to 798,468 and 1,206,019 is: 1,821,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,468 : 1,206,019 = 1,206,019 : x
  2. Step 2: Convert to fraction form
    798,468/1,206,019 = 1,206,019/x
  3. Step 3: Cross multiply
    798,468x = 1,206,019 × 1,206,019
  4. Step 4: Simplify right side
    798,468x = 1,454,481,828,361
  5. Step 5: Solve for x
    x = 1,454,481,828,361/798,468
  6. Step 6: Final answer
    x = 1,821,590.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.