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Finding the Third Proportional to 3,947,768 and 5,784,777

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Solution

The third proportional to 3,947,768 and 5,784,777 is: 8,476,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,768 : 5,784,777 = 5,784,777 : x
  2. Step 2: Convert to fraction form
    3,947,768/5,784,777 = 5,784,777/x
  3. Step 3: Cross multiply
    3,947,768x = 5,784,777 × 5,784,777
  4. Step 4: Simplify right side
    3,947,768x = 33,463,644,939,729
  5. Step 5: Solve for x
    x = 33,463,644,939,729/3,947,768
  6. Step 6: Final answer
    x = 8,476,598.66

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Why These Related Problems?

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