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Finding the Third Proportional to 598,264 and 1,264,064

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Solution

The third proportional to 598,264 and 1,264,064 is: 2,670,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,264 : 1,264,064 = 1,264,064 : x
  2. Step 2: Convert to fraction form
    598,264/1,264,064 = 1,264,064/x
  3. Step 3: Cross multiply
    598,264x = 1,264,064 × 1,264,064
  4. Step 4: Simplify right side
    598,264x = 1,597,857,796,096
  5. Step 5: Solve for x
    x = 1,597,857,796,096/598,264
  6. Step 6: Final answer
    x = 2,670,823.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.