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Finding the Third Proportional to 532,136 and 1,138,064

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Solution

The third proportional to 532,136 and 1,138,064 is: 2,433,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,136 : 1,138,064 = 1,138,064 : x
  2. Step 2: Convert to fraction form
    532,136/1,138,064 = 1,138,064/x
  3. Step 3: Cross multiply
    532,136x = 1,138,064 × 1,138,064
  4. Step 4: Simplify right side
    532,136x = 1,295,189,668,096
  5. Step 5: Solve for x
    x = 1,295,189,668,096/532,136
  6. Step 6: Final answer
    x = 2,433,944.83

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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.