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Finding the Third Proportional to 491,244 and 1,076,008

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Solution

The third proportional to 491,244 and 1,076,008 is: 2,356,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,244 : 1,076,008 = 1,076,008 : x
  2. Step 2: Convert to fraction form
    491,244/1,076,008 = 1,076,008/x
  3. Step 3: Cross multiply
    491,244x = 1,076,008 × 1,076,008
  4. Step 4: Simplify right side
    491,244x = 1,157,793,216,064
  5. Step 5: Solve for x
    x = 1,157,793,216,064/491,244
  6. Step 6: Final answer
    x = 2,356,859.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.