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Finding the Third Proportional to 1,996,447 and 3,102,958.50

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Solution

The third proportional to 1,996,447 and 3,102,958.50 is: 4,822,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,447 : 3,102,958.50 = 3,102,958.50 : x
  2. Step 2: Convert to fraction form
    1,996,447/3,102,958.50 = 3,102,958.50/x
  3. Step 3: Cross multiply
    1,996,447x = 3,102,958.50 × 3,102,958.50
  4. Step 4: Simplify right side
    1,996,447x = 9,628,351,452,722.25
  5. Step 5: Solve for x
    x = 9,628,351,452,722.25/1,996,447
  6. Step 6: Final answer
    x = 4,822,743.33

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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.