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Finding the Third Proportional to 1,770,771 and 3,913,683

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Solution

The third proportional to 1,770,771 and 3,913,683 is: 8,649,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,771 : 3,913,683 = 3,913,683 : x
  2. Step 2: Convert to fraction form
    1,770,771/3,913,683 = 3,913,683/x
  3. Step 3: Cross multiply
    1,770,771x = 3,913,683 × 3,913,683
  4. Step 4: Simplify right side
    1,770,771x = 15,316,914,624,489
  5. Step 5: Solve for x
    x = 15,316,914,624,489/1,770,771
  6. Step 6: Final answer
    x = 8,649,856.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.