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Finding the Third Proportional to 864,678 and 1,293,561

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Solution

The third proportional to 864,678 and 1,293,561 is: 1,935,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,678 : 1,293,561 = 1,293,561 : x
  2. Step 2: Convert to fraction form
    864,678/1,293,561 = 1,293,561/x
  3. Step 3: Cross multiply
    864,678x = 1,293,561 × 1,293,561
  4. Step 4: Simplify right side
    864,678x = 1,673,300,060,721
  5. Step 5: Solve for x
    x = 1,673,300,060,721/864,678
  6. Step 6: Final answer
    x = 1,935,171.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.