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Finding the Third Proportional to 1,022,602 and 1,600,647

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Solution

The third proportional to 1,022,602 and 1,600,647 is: 2,505,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,602 : 1,600,647 = 1,600,647 : x
  2. Step 2: Convert to fraction form
    1,022,602/1,600,647 = 1,600,647/x
  3. Step 3: Cross multiply
    1,022,602x = 1,600,647 × 1,600,647
  4. Step 4: Simplify right side
    1,022,602x = 2,562,070,818,609
  5. Step 5: Solve for x
    x = 2,562,070,818,609/1,022,602
  6. Step 6: Final answer
    x = 2,505,442.80

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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.