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Finding the Third Proportional to 583,832 and 1,263,619

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Solution

The third proportional to 583,832 and 1,263,619 is: 2,734,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,832 : 1,263,619 = 1,263,619 : x
  2. Step 2: Convert to fraction form
    583,832/1,263,619 = 1,263,619/x
  3. Step 3: Cross multiply
    583,832x = 1,263,619 × 1,263,619
  4. Step 4: Simplify right side
    583,832x = 1,596,732,977,161
  5. Step 5: Solve for x
    x = 1,596,732,977,161/583,832
  6. Step 6: Final answer
    x = 2,734,918.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.