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Finding the Third Proportional to 724,686 and 1,705,143

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Solution

The third proportional to 724,686 and 1,705,143 is: 4,012,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,686 : 1,705,143 = 1,705,143 : x
  2. Step 2: Convert to fraction form
    724,686/1,705,143 = 1,705,143/x
  3. Step 3: Cross multiply
    724,686x = 1,705,143 × 1,705,143
  4. Step 4: Simplify right side
    724,686x = 2,907,512,650,449
  5. Step 5: Solve for x
    x = 2,907,512,650,449/724,686
  6. Step 6: Final answer
    x = 4,012,099.93

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.