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Finding the Third Proportional to 2,709,400 and 5,971,706

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Solution

The third proportional to 2,709,400 and 5,971,706 is: 13,162,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,400 : 5,971,706 = 5,971,706 : x
  2. Step 2: Convert to fraction form
    2,709,400/5,971,706 = 5,971,706/x
  3. Step 3: Cross multiply
    2,709,400x = 5,971,706 × 5,971,706
  4. Step 4: Simplify right side
    2,709,400x = 35,661,272,550,436
  5. Step 5: Solve for x
    x = 35,661,272,550,436/2,709,400
  6. Step 6: Final answer
    x = 13,162,055.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.