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Finding the Third Proportional to 787,296 and 1,222,416

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Solution

The third proportional to 787,296 and 1,222,416 is: 1,898,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,296 : 1,222,416 = 1,222,416 : x
  2. Step 2: Convert to fraction form
    787,296/1,222,416 = 1,222,416/x
  3. Step 3: Cross multiply
    787,296x = 1,222,416 × 1,222,416
  4. Step 4: Simplify right side
    787,296x = 1,494,300,877,056
  5. Step 5: Solve for x
    x = 1,494,300,877,056/787,296
  6. Step 6: Final answer
    x = 1,898,016.60

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