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Finding the Third Proportional to 2,727,768 and 4,194,009

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Solution

The third proportional to 2,727,768 and 4,194,009 is: 6,448,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,768 : 4,194,009 = 4,194,009 : x
  2. Step 2: Convert to fraction form
    2,727,768/4,194,009 = 4,194,009/x
  3. Step 3: Cross multiply
    2,727,768x = 4,194,009 × 4,194,009
  4. Step 4: Simplify right side
    2,727,768x = 17,589,711,492,081
  5. Step 5: Solve for x
    x = 17,589,711,492,081/2,727,768
  6. Step 6: Final answer
    x = 6,448,389.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.