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Finding the Third Proportional to 1,022,604 and 1,600,651

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Solution

The third proportional to 1,022,604 and 1,600,651 is: 2,505,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,604 : 1,600,651 = 1,600,651 : x
  2. Step 2: Convert to fraction form
    1,022,604/1,600,651 = 1,600,651/x
  3. Step 3: Cross multiply
    1,022,604x = 1,600,651 × 1,600,651
  4. Step 4: Simplify right side
    1,022,604x = 2,562,083,623,801
  5. Step 5: Solve for x
    x = 2,562,083,623,801/1,022,604
  6. Step 6: Final answer
    x = 2,505,450.42

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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.