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Finding the Third Proportional to 519,417 and 1,134,954

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Solution

The third proportional to 519,417 and 1,134,954 is: 2,479,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,417 : 1,134,954 = 1,134,954 : x
  2. Step 2: Convert to fraction form
    519,417/1,134,954 = 1,134,954/x
  3. Step 3: Cross multiply
    519,417x = 1,134,954 × 1,134,954
  4. Step 4: Simplify right side
    519,417x = 1,288,120,582,116
  5. Step 5: Solve for x
    x = 1,288,120,582,116/519,417
  6. Step 6: Final answer
    x = 2,479,935.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.