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Finding the Third Proportional to 1,281,220 and 1,930,211

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Solution

The third proportional to 1,281,220 and 1,930,211 is: 2,907,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,220 : 1,930,211 = 1,930,211 : x
  2. Step 2: Convert to fraction form
    1,281,220/1,930,211 = 1,930,211/x
  3. Step 3: Cross multiply
    1,281,220x = 1,930,211 × 1,930,211
  4. Step 4: Simplify right side
    1,281,220x = 3,725,714,504,521
  5. Step 5: Solve for x
    x = 3,725,714,504,521/1,281,220
  6. Step 6: Final answer
    x = 2,907,942.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.