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Finding the Third Proportional to 3,436,581 and 6,786,411

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Solution

The third proportional to 3,436,581 and 6,786,411 is: 13,401,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,581 : 6,786,411 = 6,786,411 : x
  2. Step 2: Convert to fraction form
    3,436,581/6,786,411 = 6,786,411/x
  3. Step 3: Cross multiply
    3,436,581x = 6,786,411 × 6,786,411
  4. Step 4: Simplify right side
    3,436,581x = 46,055,374,260,921
  5. Step 5: Solve for x
    x = 46,055,374,260,921/3,436,581
  6. Step 6: Final answer
    x = 13,401,509.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.