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Finding the Third Proportional to 3,437,824 and 7,285,454

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Solution

The third proportional to 3,437,824 and 7,285,454 is: 15,439,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,824 : 7,285,454 = 7,285,454 : x
  2. Step 2: Convert to fraction form
    3,437,824/7,285,454 = 7,285,454/x
  3. Step 3: Cross multiply
    3,437,824x = 7,285,454 × 7,285,454
  4. Step 4: Simplify right side
    3,437,824x = 53,077,839,986,116
  5. Step 5: Solve for x
    x = 53,077,839,986,116/3,437,824
  6. Step 6: Final answer
    x = 15,439,370.95

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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.