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Finding the Third Proportional to 782,573 and 1,190,303

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Solution

The third proportional to 782,573 and 1,190,303 is: 1,810,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,573 : 1,190,303 = 1,190,303 : x
  2. Step 2: Convert to fraction form
    782,573/1,190,303 = 1,190,303/x
  3. Step 3: Cross multiply
    782,573x = 1,190,303 × 1,190,303
  4. Step 4: Simplify right side
    782,573x = 1,416,821,231,809
  5. Step 5: Solve for x
    x = 1,416,821,231,809/782,573
  6. Step 6: Final answer
    x = 1,810,465.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.