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Finding the Third Proportional to 3,743,778 and 5,349,946

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Solution

The third proportional to 3,743,778 and 5,349,946 is: 7,645,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,778 : 5,349,946 = 5,349,946 : x
  2. Step 2: Convert to fraction form
    3,743,778/5,349,946 = 5,349,946/x
  3. Step 3: Cross multiply
    3,743,778x = 5,349,946 × 5,349,946
  4. Step 4: Simplify right side
    3,743,778x = 28,621,922,202,916
  5. Step 5: Solve for x
    x = 28,621,922,202,916/3,743,778
  6. Step 6: Final answer
    x = 7,645,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.