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Finding the Third Proportional to 505,972 and 1,096,019

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Solution

The third proportional to 505,972 and 1,096,019 is: 2,374,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,972 : 1,096,019 = 1,096,019 : x
  2. Step 2: Convert to fraction form
    505,972/1,096,019 = 1,096,019/x
  3. Step 3: Cross multiply
    505,972x = 1,096,019 × 1,096,019
  4. Step 4: Simplify right side
    505,972x = 1,201,257,648,361
  5. Step 5: Solve for x
    x = 1,201,257,648,361/505,972
  6. Step 6: Final answer
    x = 2,374,158.35

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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.