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Finding the Third Proportional to 807,684 and 1,245,219

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Solution

The third proportional to 807,684 and 1,245,219 is: 1,919,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,684 : 1,245,219 = 1,245,219 : x
  2. Step 2: Convert to fraction form
    807,684/1,245,219 = 1,245,219/x
  3. Step 3: Cross multiply
    807,684x = 1,245,219 × 1,245,219
  4. Step 4: Simplify right side
    807,684x = 1,550,570,357,961
  5. Step 5: Solve for x
    x = 1,550,570,357,961/807,684
  6. Step 6: Final answer
    x = 1,919,773.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.