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Finding the Third Proportional to 2,003,424 and 4,310,565

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Solution

The third proportional to 2,003,424 and 4,310,565 is: 9,274,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,424 : 4,310,565 = 4,310,565 : x
  2. Step 2: Convert to fraction form
    2,003,424/4,310,565 = 4,310,565/x
  3. Step 3: Cross multiply
    2,003,424x = 4,310,565 × 4,310,565
  4. Step 4: Simplify right side
    2,003,424x = 18,580,970,619,225
  5. Step 5: Solve for x
    x = 18,580,970,619,225/2,003,424
  6. Step 6: Final answer
    x = 9,274,607.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.