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Finding the Third Proportional to 1,508,019 and 3,121,014

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Solution

The third proportional to 1,508,019 and 3,121,014 is: 6,459,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,019 : 3,121,014 = 3,121,014 : x
  2. Step 2: Convert to fraction form
    1,508,019/3,121,014 = 3,121,014/x
  3. Step 3: Cross multiply
    1,508,019x = 3,121,014 × 3,121,014
  4. Step 4: Simplify right side
    1,508,019x = 9,740,728,388,196
  5. Step 5: Solve for x
    x = 9,740,728,388,196/1,508,019
  6. Step 6: Final answer
    x = 6,459,287.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.