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Finding the Third Proportional to 505,938 and 1,077,418

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Solution

The third proportional to 505,938 and 1,077,418 is: 2,294,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,938 : 1,077,418 = 1,077,418 : x
  2. Step 2: Convert to fraction form
    505,938/1,077,418 = 1,077,418/x
  3. Step 3: Cross multiply
    505,938x = 1,077,418 × 1,077,418
  4. Step 4: Simplify right side
    505,938x = 1,160,829,546,724
  5. Step 5: Solve for x
    x = 1,160,829,546,724/505,938
  6. Step 6: Final answer
    x = 2,294,410.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.