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Finding the Third Proportional to 505,968.95 and 1,096,013.53

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Solution

The third proportional to 505,968.95 and 1,096,013.53 is: 2,374,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,968.95 : 1,096,013.53 = 1,096,013.53 : x
  2. Step 2: Convert to fraction form
    505,968.95/1,096,013.53 = 1,096,013.53/x
  3. Step 3: Cross multiply
    505,968.95x = 1,096,013.53 × 1,096,013.53
  4. Step 4: Simplify right side
    505,968.95x = 1,201,245,660,683.09
  5. Step 5: Solve for x
    x = 1,201,245,660,683.09/505,968.95
  6. Step 6: Final answer
    x = 2,374,148.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.