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Finding the Third Proportional to 3,229,200 and 6,792,984

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Solution

The third proportional to 3,229,200 and 6,792,984 is: 14,289,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229,200 : 6,792,984 = 6,792,984 : x
  2. Step 2: Convert to fraction form
    3,229,200/6,792,984 = 6,792,984/x
  3. Step 3: Cross multiply
    3,229,200x = 6,792,984 × 6,792,984
  4. Step 4: Simplify right side
    3,229,200x = 46,144,631,624,256
  5. Step 5: Solve for x
    x = 46,144,631,624,256/3,229,200
  6. Step 6: Final answer
    x = 14,289,802.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.