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Finding the Third Proportional to 3,409,481 and 5,293,515

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Solution

The third proportional to 3,409,481 and 5,293,515 is: 8,218,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,481 : 5,293,515 = 5,293,515 : x
  2. Step 2: Convert to fraction form
    3,409,481/5,293,515 = 5,293,515/x
  3. Step 3: Cross multiply
    3,409,481x = 5,293,515 × 5,293,515
  4. Step 4: Simplify right side
    3,409,481x = 28,021,301,055,225
  5. Step 5: Solve for x
    x = 28,021,301,055,225/3,409,481
  6. Step 6: Final answer
    x = 8,218,641.21

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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.