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Finding the Third Proportional to 1,347,084 and 2,860,218

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Solution

The third proportional to 1,347,084 and 2,860,218 is: 6,073,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,084 : 2,860,218 = 2,860,218 : x
  2. Step 2: Convert to fraction form
    1,347,084/2,860,218 = 2,860,218/x
  3. Step 3: Cross multiply
    1,347,084x = 2,860,218 × 2,860,218
  4. Step 4: Simplify right side
    1,347,084x = 8,180,847,007,524
  5. Step 5: Solve for x
    x = 8,180,847,007,524/1,347,084
  6. Step 6: Final answer
    x = 6,073,004.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.