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Finding the Third Proportional to 610,618 and 1,305,268

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Solution

The third proportional to 610,618 and 1,305,268 is: 2,790,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,618 : 1,305,268 = 1,305,268 : x
  2. Step 2: Convert to fraction form
    610,618/1,305,268 = 1,305,268/x
  3. Step 3: Cross multiply
    610,618x = 1,305,268 × 1,305,268
  4. Step 4: Simplify right side
    610,618x = 1,703,724,551,824
  5. Step 5: Solve for x
    x = 1,703,724,551,824/610,618
  6. Step 6: Final answer
    x = 2,790,164.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.