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Finding the Third Proportional to 2,255,580 and 3,497,902

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Solution

The third proportional to 2,255,580 and 3,497,902 is: 5,424,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,580 : 3,497,902 = 3,497,902 : x
  2. Step 2: Convert to fraction form
    2,255,580/3,497,902 = 3,497,902/x
  3. Step 3: Cross multiply
    2,255,580x = 3,497,902 × 3,497,902
  4. Step 4: Simplify right side
    2,255,580x = 12,235,318,401,604
  5. Step 5: Solve for x
    x = 12,235,318,401,604/2,255,580
  6. Step 6: Final answer
    x = 5,424,466.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.