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Finding the Third Proportional to 2,909,986 and 4,405,241

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Solution

The third proportional to 2,909,986 and 4,405,241 is: 6,668,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,986 : 4,405,241 = 4,405,241 : x
  2. Step 2: Convert to fraction form
    2,909,986/4,405,241 = 4,405,241/x
  3. Step 3: Cross multiply
    2,909,986x = 4,405,241 × 4,405,241
  4. Step 4: Simplify right side
    2,909,986x = 19,406,148,268,081
  5. Step 5: Solve for x
    x = 19,406,148,268,081/2,909,986
  6. Step 6: Final answer
    x = 6,668,811.56

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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.