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Finding the Third Proportional to 529,640 and 1,135,064

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Solution

The third proportional to 529,640 and 1,135,064 is: 2,432,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,640 : 1,135,064 = 1,135,064 : x
  2. Step 2: Convert to fraction form
    529,640/1,135,064 = 1,135,064/x
  3. Step 3: Cross multiply
    529,640x = 1,135,064 × 1,135,064
  4. Step 4: Simplify right side
    529,640x = 1,288,370,284,096
  5. Step 5: Solve for x
    x = 1,288,370,284,096/529,640
  6. Step 6: Final answer
    x = 2,432,539.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.