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Finding the Third Proportional to 4,576,000 and 6,855,168

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Solution

The third proportional to 4,576,000 and 6,855,168 is: 10,269,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,000 : 6,855,168 = 6,855,168 : x
  2. Step 2: Convert to fraction form
    4,576,000/6,855,168 = 6,855,168/x
  3. Step 3: Cross multiply
    4,576,000x = 6,855,168 × 6,855,168
  4. Step 4: Simplify right side
    4,576,000x = 46,993,328,308,224
  5. Step 5: Solve for x
    x = 46,993,328,308,224/4,576,000
  6. Step 6: Final answer
    x = 10,269,521.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.