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Finding the Third Proportional to 599,420 and 1,284,340

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Solution

The third proportional to 599,420 and 1,284,340 is: 2,751,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,420 : 1,284,340 = 1,284,340 : x
  2. Step 2: Convert to fraction form
    599,420/1,284,340 = 1,284,340/x
  3. Step 3: Cross multiply
    599,420x = 1,284,340 × 1,284,340
  4. Step 4: Simplify right side
    599,420x = 1,649,529,235,600
  5. Step 5: Solve for x
    x = 1,649,529,235,600/599,420
  6. Step 6: Final answer
    x = 2,751,875.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.