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Finding the Third Proportional to 496,204 and 1,076,426

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Solution

The third proportional to 496,204 and 1,076,426 is: 2,335,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,204 : 1,076,426 = 1,076,426 : x
  2. Step 2: Convert to fraction form
    496,204/1,076,426 = 1,076,426/x
  3. Step 3: Cross multiply
    496,204x = 1,076,426 × 1,076,426
  4. Step 4: Simplify right side
    496,204x = 1,158,692,933,476
  5. Step 5: Solve for x
    x = 1,158,692,933,476/496,204
  6. Step 6: Final answer
    x = 2,335,114.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.