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Finding the Third Proportional to 1,050,091 and 2,290,241

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Solution

The third proportional to 1,050,091 and 2,290,241 is: 4,994,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,091 : 2,290,241 = 2,290,241 : x
  2. Step 2: Convert to fraction form
    1,050,091/2,290,241 = 2,290,241/x
  3. Step 3: Cross multiply
    1,050,091x = 2,290,241 × 2,290,241
  4. Step 4: Simplify right side
    1,050,091x = 5,245,203,838,081
  5. Step 5: Solve for x
    x = 5,245,203,838,081/1,050,091
  6. Step 6: Final answer
    x = 4,994,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.