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Finding the Third Proportional to 1,609,728 and 3,499,008

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Solution

The third proportional to 1,609,728 and 3,499,008 is: 7,605,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,728 : 3,499,008 = 3,499,008 : x
  2. Step 2: Convert to fraction form
    1,609,728/3,499,008 = 3,499,008/x
  3. Step 3: Cross multiply
    1,609,728x = 3,499,008 × 3,499,008
  4. Step 4: Simplify right side
    1,609,728x = 12,243,056,984,064
  5. Step 5: Solve for x
    x = 12,243,056,984,064/1,609,728
  6. Step 6: Final answer
    x = 7,605,668.15

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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.