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Finding the Third Proportional to 477,682 and 1,043,942

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Solution

The third proportional to 477,682 and 1,043,942 is: 2,281,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,682 : 1,043,942 = 1,043,942 : x
  2. Step 2: Convert to fraction form
    477,682/1,043,942 = 1,043,942/x
  3. Step 3: Cross multiply
    477,682x = 1,043,942 × 1,043,942
  4. Step 4: Simplify right side
    477,682x = 1,089,814,899,364
  5. Step 5: Solve for x
    x = 1,089,814,899,364/477,682
  6. Step 6: Final answer
    x = 2,281,465.28

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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.