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Finding the Third Proportional to 735,028 and 1,582,664

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Solution

The third proportional to 735,028 and 1,582,664 is: 3,407,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,028 : 1,582,664 = 1,582,664 : x
  2. Step 2: Convert to fraction form
    735,028/1,582,664 = 1,582,664/x
  3. Step 3: Cross multiply
    735,028x = 1,582,664 × 1,582,664
  4. Step 4: Simplify right side
    735,028x = 2,504,825,336,896
  5. Step 5: Solve for x
    x = 2,504,825,336,896/735,028
  6. Step 6: Final answer
    x = 3,407,795.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.