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Finding the Third Proportional to 1,277,684 and 2,814,618

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Solution

The third proportional to 1,277,684 and 2,814,618 is: 6,200,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,684 : 2,814,618 = 2,814,618 : x
  2. Step 2: Convert to fraction form
    1,277,684/2,814,618 = 2,814,618/x
  3. Step 3: Cross multiply
    1,277,684x = 2,814,618 × 2,814,618
  4. Step 4: Simplify right side
    1,277,684x = 7,922,074,485,924
  5. Step 5: Solve for x
    x = 7,922,074,485,924/1,277,684
  6. Step 6: Final answer
    x = 6,200,339.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.