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Finding the Third Proportional to 787,322 and 1,253,379

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Solution

The third proportional to 787,322 and 1,253,379 is: 1,995,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,322 : 1,253,379 = 1,253,379 : x
  2. Step 2: Convert to fraction form
    787,322/1,253,379 = 1,253,379/x
  3. Step 3: Cross multiply
    787,322x = 1,253,379 × 1,253,379
  4. Step 4: Simplify right side
    787,322x = 1,570,958,917,641
  5. Step 5: Solve for x
    x = 1,570,958,917,641/787,322
  6. Step 6: Final answer
    x = 1,995,319.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.