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Finding the Third Proportional to 797,976 and 1,706,544

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Solution

The third proportional to 797,976 and 1,706,544 is: 3,649,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,976 : 1,706,544 = 1,706,544 : x
  2. Step 2: Convert to fraction form
    797,976/1,706,544 = 1,706,544/x
  3. Step 3: Cross multiply
    797,976x = 1,706,544 × 1,706,544
  4. Step 4: Simplify right side
    797,976x = 2,912,292,423,936
  5. Step 5: Solve for x
    x = 2,912,292,423,936/797,976
  6. Step 6: Final answer
    x = 3,649,599.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.