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Finding the Third Proportional to 595,982 and 1,299,064

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Solution

The third proportional to 595,982 and 1,299,064 is: 2,831,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,982 : 1,299,064 = 1,299,064 : x
  2. Step 2: Convert to fraction form
    595,982/1,299,064 = 1,299,064/x
  3. Step 3: Cross multiply
    595,982x = 1,299,064 × 1,299,064
  4. Step 4: Simplify right side
    595,982x = 1,687,567,276,096
  5. Step 5: Solve for x
    x = 1,687,567,276,096/595,982
  6. Step 6: Final answer
    x = 2,831,574.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.