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Finding the Third Proportional to 478,504 and 1,043,942

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Solution

The third proportional to 478,504 and 1,043,942 is: 2,277,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,504 : 1,043,942 = 1,043,942 : x
  2. Step 2: Convert to fraction form
    478,504/1,043,942 = 1,043,942/x
  3. Step 3: Cross multiply
    478,504x = 1,043,942 × 1,043,942
  4. Step 4: Simplify right side
    478,504x = 1,089,814,899,364
  5. Step 5: Solve for x
    x = 1,089,814,899,364/478,504
  6. Step 6: Final answer
    x = 2,277,546.06

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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.