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Finding the Third Proportional to 2,970,120 and 6,097,704

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Solution

The third proportional to 2,970,120 and 6,097,704 is: 12,518,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,120 : 6,097,704 = 6,097,704 : x
  2. Step 2: Convert to fraction form
    2,970,120/6,097,704 = 6,097,704/x
  3. Step 3: Cross multiply
    2,970,120x = 6,097,704 × 6,097,704
  4. Step 4: Simplify right side
    2,970,120x = 37,181,994,071,616
  5. Step 5: Solve for x
    x = 37,181,994,071,616/2,970,120
  6. Step 6: Final answer
    x = 12,518,684.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.