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Finding the Third Proportional to 610,678 and 1,305,217

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Solution

The third proportional to 610,678 and 1,305,217 is: 2,789,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,678 : 1,305,217 = 1,305,217 : x
  2. Step 2: Convert to fraction form
    610,678/1,305,217 = 1,305,217/x
  3. Step 3: Cross multiply
    610,678x = 1,305,217 × 1,305,217
  4. Step 4: Simplify right side
    610,678x = 1,703,591,417,089
  5. Step 5: Solve for x
    x = 1,703,591,417,089/610,678
  6. Step 6: Final answer
    x = 2,789,672.16

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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.