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Finding the Third Proportional to 2,030,308 and 2,856,589

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Solution

The third proportional to 2,030,308 and 2,856,589 is: 4,019,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,308 : 2,856,589 = 2,856,589 : x
  2. Step 2: Convert to fraction form
    2,030,308/2,856,589 = 2,856,589/x
  3. Step 3: Cross multiply
    2,030,308x = 2,856,589 × 2,856,589
  4. Step 4: Simplify right side
    2,030,308x = 8,160,100,714,921
  5. Step 5: Solve for x
    x = 8,160,100,714,921/2,030,308
  6. Step 6: Final answer
    x = 4,019,144.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.