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Finding the Third Proportional to 705,472 and 1,064,568

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Solution

The third proportional to 705,472 and 1,064,568 is: 1,606,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,472 : 1,064,568 = 1,064,568 : x
  2. Step 2: Convert to fraction form
    705,472/1,064,568 = 1,064,568/x
  3. Step 3: Cross multiply
    705,472x = 1,064,568 × 1,064,568
  4. Step 4: Simplify right side
    705,472x = 1,133,305,026,624
  5. Step 5: Solve for x
    x = 1,133,305,026,624/705,472
  6. Step 6: Final answer
    x = 1,606,449.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.