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Finding the Third Proportional to 3,409,506 and 5,293,540.69

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Solution

The third proportional to 3,409,506 and 5,293,540.69 is: 8,218,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,506 : 5,293,540.69 = 5,293,540.69 : x
  2. Step 2: Convert to fraction form
    3,409,506/5,293,540.69 = 5,293,540.69/x
  3. Step 3: Cross multiply
    3,409,506x = 5,293,540.69 × 5,293,540.69
  4. Step 4: Simplify right side
    3,409,506x = 28,021,573,010,217.97
  5. Step 5: Solve for x
    x = 28,021,573,010,217.97/3,409,506
  6. Step 6: Final answer
    x = 8,218,660.71

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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.