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Finding the Third Proportional to 2,089,821 and 4,238,403

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Solution

The third proportional to 2,089,821 and 4,238,403 is: 8,595,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,821 : 4,238,403 = 4,238,403 : x
  2. Step 2: Convert to fraction form
    2,089,821/4,238,403 = 4,238,403/x
  3. Step 3: Cross multiply
    2,089,821x = 4,238,403 × 4,238,403
  4. Step 4: Simplify right side
    2,089,821x = 17,964,059,990,409
  5. Step 5: Solve for x
    x = 17,964,059,990,409/2,089,821
  6. Step 6: Final answer
    x = 8,595,980.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.