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Finding the Third Proportional to 805,968 and 1,694,664

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Solution

The third proportional to 805,968 and 1,694,664 is: 3,563,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,968 : 1,694,664 = 1,694,664 : x
  2. Step 2: Convert to fraction form
    805,968/1,694,664 = 1,694,664/x
  3. Step 3: Cross multiply
    805,968x = 1,694,664 × 1,694,664
  4. Step 4: Simplify right side
    805,968x = 2,871,886,072,896
  5. Step 5: Solve for x
    x = 2,871,886,072,896/805,968
  6. Step 6: Final answer
    x = 3,563,275.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.