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Finding the Third Proportional to 610,676 and 1,305,213

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Solution

The third proportional to 610,676 and 1,305,213 is: 2,789,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,676 : 1,305,213 = 1,305,213 : x
  2. Step 2: Convert to fraction form
    610,676/1,305,213 = 1,305,213/x
  3. Step 3: Cross multiply
    610,676x = 1,305,213 × 1,305,213
  4. Step 4: Simplify right side
    610,676x = 1,703,580,975,369
  5. Step 5: Solve for x
    x = 1,703,580,975,369/610,676
  6. Step 6: Final answer
    x = 2,789,664.20

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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.