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Finding the Third Proportional to 1,441,340 and 3,060,468

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Solution

The third proportional to 1,441,340 and 3,060,468 is: 6,498,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,340 : 3,060,468 = 3,060,468 : x
  2. Step 2: Convert to fraction form
    1,441,340/3,060,468 = 3,060,468/x
  3. Step 3: Cross multiply
    1,441,340x = 3,060,468 × 3,060,468
  4. Step 4: Simplify right side
    1,441,340x = 9,366,464,379,024
  5. Step 5: Solve for x
    x = 9,366,464,379,024/1,441,340
  6. Step 6: Final answer
    x = 6,498,441.99

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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.