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Finding the Third Proportional to 1,605,512 and 2,201,598

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Solution

The third proportional to 1,605,512 and 2,201,598 is: 3,018,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,512 : 2,201,598 = 2,201,598 : x
  2. Step 2: Convert to fraction form
    1,605,512/2,201,598 = 2,201,598/x
  3. Step 3: Cross multiply
    1,605,512x = 2,201,598 × 2,201,598
  4. Step 4: Simplify right side
    1,605,512x = 4,847,033,753,604
  5. Step 5: Solve for x
    x = 4,847,033,753,604/1,605,512
  6. Step 6: Final answer
    x = 3,018,995.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.