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Finding the Third Proportional to 1,600,969 and 3,467,659

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Solution

The third proportional to 1,600,969 and 3,467,659 is: 7,510,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,969 : 3,467,659 = 3,467,659 : x
  2. Step 2: Convert to fraction form
    1,600,969/3,467,659 = 3,467,659/x
  3. Step 3: Cross multiply
    1,600,969x = 3,467,659 × 3,467,659
  4. Step 4: Simplify right side
    1,600,969x = 12,024,658,940,281
  5. Step 5: Solve for x
    x = 12,024,658,940,281/1,600,969
  6. Step 6: Final answer
    x = 7,510,863.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.