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Finding the Third Proportional to 684,132 and 1,583,592

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Solution

The third proportional to 684,132 and 1,583,592 is: 3,665,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,132 : 1,583,592 = 1,583,592 : x
  2. Step 2: Convert to fraction form
    684,132/1,583,592 = 1,583,592/x
  3. Step 3: Cross multiply
    684,132x = 1,583,592 × 1,583,592
  4. Step 4: Simplify right side
    684,132x = 2,507,763,622,464
  5. Step 5: Solve for x
    x = 2,507,763,622,464/684,132
  6. Step 6: Final answer
    x = 3,665,613.69

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.