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Finding the Third Proportional to 662,022 and 1,022,975

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Solution

The third proportional to 662,022 and 1,022,975 is: 1,580,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,022 : 1,022,975 = 1,022,975 : x
  2. Step 2: Convert to fraction form
    662,022/1,022,975 = 1,022,975/x
  3. Step 3: Cross multiply
    662,022x = 1,022,975 × 1,022,975
  4. Step 4: Simplify right side
    662,022x = 1,046,477,850,625
  5. Step 5: Solve for x
    x = 1,046,477,850,625/662,022
  6. Step 6: Final answer
    x = 1,580,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.