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Finding the Third Proportional to 722,586 and 1,016,664

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Solution

The third proportional to 722,586 and 1,016,664 is: 1,430,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,586 : 1,016,664 = 1,016,664 : x
  2. Step 2: Convert to fraction form
    722,586/1,016,664 = 1,016,664/x
  3. Step 3: Cross multiply
    722,586x = 1,016,664 × 1,016,664
  4. Step 4: Simplify right side
    722,586x = 1,033,605,688,896
  5. Step 5: Solve for x
    x = 1,033,605,688,896/722,586
  6. Step 6: Final answer
    x = 1,430,425.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.