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Finding the Third Proportional to 3,097,278 and 6,792,822

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Solution

The third proportional to 3,097,278 and 6,792,822 is: 14,897,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,278 : 6,792,822 = 6,792,822 : x
  2. Step 2: Convert to fraction form
    3,097,278/6,792,822 = 6,792,822/x
  3. Step 3: Cross multiply
    3,097,278x = 6,792,822 × 6,792,822
  4. Step 4: Simplify right side
    3,097,278x = 46,142,430,723,684
  5. Step 5: Solve for x
    x = 46,142,430,723,684/3,097,278
  6. Step 6: Final answer
    x = 14,897,736.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.