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Finding the Third Proportional to 493,467 and 1,076,175

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Solution

The third proportional to 493,467 and 1,076,175 is: 2,346,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,467 : 1,076,175 = 1,076,175 : x
  2. Step 2: Convert to fraction form
    493,467/1,076,175 = 1,076,175/x
  3. Step 3: Cross multiply
    493,467x = 1,076,175 × 1,076,175
  4. Step 4: Simplify right side
    493,467x = 1,158,152,630,625
  5. Step 5: Solve for x
    x = 1,158,152,630,625/493,467
  6. Step 6: Final answer
    x = 2,346,970.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.