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Finding the Third Proportional to 613,459 and 936,795

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Solution

The third proportional to 613,459 and 936,795 is: 1,430,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,459 : 936,795 = 936,795 : x
  2. Step 2: Convert to fraction form
    613,459/936,795 = 936,795/x
  3. Step 3: Cross multiply
    613,459x = 936,795 × 936,795
  4. Step 4: Simplify right side
    613,459x = 877,584,872,025
  5. Step 5: Solve for x
    x = 877,584,872,025/613,459
  6. Step 6: Final answer
    x = 1,430,551.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.