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Finding the Third Proportional to 1,022,704 and 1,604,400

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Solution

The third proportional to 1,022,704 and 1,604,400 is: 2,516,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,704 : 1,604,400 = 1,604,400 : x
  2. Step 2: Convert to fraction form
    1,022,704/1,604,400 = 1,604,400/x
  3. Step 3: Cross multiply
    1,022,704x = 1,604,400 × 1,604,400
  4. Step 4: Simplify right side
    1,022,704x = 2,574,099,360,000
  5. Step 5: Solve for x
    x = 2,574,099,360,000/1,022,704
  6. Step 6: Final answer
    x = 2,516,954.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.