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Finding the Third Proportional to 970,186 and 2,040,907

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Solution

The third proportional to 970,186 and 2,040,907 is: 4,293,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,186 : 2,040,907 = 2,040,907 : x
  2. Step 2: Convert to fraction form
    970,186/2,040,907 = 2,040,907/x
  3. Step 3: Cross multiply
    970,186x = 2,040,907 × 2,040,907
  4. Step 4: Simplify right side
    970,186x = 4,165,301,382,649
  5. Step 5: Solve for x
    x = 4,165,301,382,649/970,186
  6. Step 6: Final answer
    x = 4,293,301.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.