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Finding the Third Proportional to 3,843,378 and 5,649,402

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Solution

The third proportional to 3,843,378 and 5,649,402 is: 8,304,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843,378 : 5,649,402 = 5,649,402 : x
  2. Step 2: Convert to fraction form
    3,843,378/5,649,402 = 5,649,402/x
  3. Step 3: Cross multiply
    3,843,378x = 5,649,402 × 5,649,402
  4. Step 4: Simplify right side
    3,843,378x = 31,915,742,957,604
  5. Step 5: Solve for x
    x = 31,915,742,957,604/3,843,378
  6. Step 6: Final answer
    x = 8,304,086.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.