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Finding the Third Proportional to 800,100 and 1,168,524

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Solution

The third proportional to 800,100 and 1,168,524 is: 1,706,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,100 : 1,168,524 = 1,168,524 : x
  2. Step 2: Convert to fraction form
    800,100/1,168,524 = 1,168,524/x
  3. Step 3: Cross multiply
    800,100x = 1,168,524 × 1,168,524
  4. Step 4: Simplify right side
    800,100x = 1,365,448,338,576
  5. Step 5: Solve for x
    x = 1,365,448,338,576/800,100
  6. Step 6: Final answer
    x = 1,706,597.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.