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Finding the Third Proportional to 496,202.20 and 1,076,421.66

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Solution

The third proportional to 496,202.20 and 1,076,421.66 is: 2,335,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,202.20 : 1,076,421.66 = 1,076,421.66 : x
  2. Step 2: Convert to fraction form
    496,202.20/1,076,421.66 = 1,076,421.66/x
  3. Step 3: Cross multiply
    496,202.20x = 1,076,421.66 × 1,076,421.66
  4. Step 4: Simplify right side
    496,202.20x = 1,158,683,582,043.99
  5. Step 5: Solve for x
    x = 1,158,683,582,043.99/496,202.20
  6. Step 6: Final answer
    x = 2,335,103.66

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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.