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Finding the Third Proportional to 862,494,504.75 and 1,408,226,832

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Solution

The third proportional to 862,494,504.75 and 1,408,226,832 is: 2,299,264,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,494,504.75 : 1,408,226,832 = 1,408,226,832 : x
  2. Step 2: Convert to fraction form
    862,494,504.75/1,408,226,832 = 1,408,226,832/x
  3. Step 3: Cross multiply
    862,494,504.75x = 1,408,226,832 × 1,408,226,832
  4. Step 4: Simplify right side
    862,494,504.75x = 1,983,102,810,364,756,224
  5. Step 5: Solve for x
    x = 1,983,102,810,364,756,224/862,494,504.75
  6. Step 6: Final answer
    x = 2,299,264,284.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.