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Finding the Third Proportional to 498,761 and 1,076,254

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Solution

The third proportional to 498,761 and 1,076,254 is: 2,322,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,761 : 1,076,254 = 1,076,254 : x
  2. Step 2: Convert to fraction form
    498,761/1,076,254 = 1,076,254/x
  3. Step 3: Cross multiply
    498,761x = 1,076,254 × 1,076,254
  4. Step 4: Simplify right side
    498,761x = 1,158,322,672,516
  5. Step 5: Solve for x
    x = 1,158,322,672,516/498,761
  6. Step 6: Final answer
    x = 2,322,400.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.