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Finding the Third Proportional to 422,458,374 and 672,214,185

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Solution

The third proportional to 422,458,374 and 672,214,185 is: 1,069,624,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,458,374 : 672,214,185 = 672,214,185 : x
  2. Step 2: Convert to fraction form
    422,458,374/672,214,185 = 672,214,185/x
  3. Step 3: Cross multiply
    422,458,374x = 672,214,185 × 672,214,185
  4. Step 4: Simplify right side
    422,458,374x = 451,871,910,515,214,208
  5. Step 5: Solve for x
    x = 451,871,910,515,214,208/422,458,374
  6. Step 6: Final answer
    x = 1,069,624,697.55

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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.