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Finding the Third Proportional to 4,456,014 and 6,496,245

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Solution

The third proportional to 4,456,014 and 6,496,245 is: 9,470,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,014 : 6,496,245 = 6,496,245 : x
  2. Step 2: Convert to fraction form
    4,456,014/6,496,245 = 6,496,245/x
  3. Step 3: Cross multiply
    4,456,014x = 6,496,245 × 6,496,245
  4. Step 4: Simplify right side
    4,456,014x = 42,201,199,100,025
  5. Step 5: Solve for x
    x = 42,201,199,100,025/4,456,014
  6. Step 6: Final answer
    x = 9,470,616.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.