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Finding the Third Proportional to 535,512 and 1,153,968

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Solution

The third proportional to 535,512 and 1,153,968 is: 2,486,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,512 : 1,153,968 = 1,153,968 : x
  2. Step 2: Convert to fraction form
    535,512/1,153,968 = 1,153,968/x
  3. Step 3: Cross multiply
    535,512x = 1,153,968 × 1,153,968
  4. Step 4: Simplify right side
    535,512x = 1,331,642,145,024
  5. Step 5: Solve for x
    x = 1,331,642,145,024/535,512
  6. Step 6: Final answer
    x = 2,486,670.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.