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Finding the Third Proportional to 1,214,211 and 2,664,618

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Solution

The third proportional to 1,214,211 and 2,664,618 is: 5,847,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,211 : 2,664,618 = 2,664,618 : x
  2. Step 2: Convert to fraction form
    1,214,211/2,664,618 = 2,664,618/x
  3. Step 3: Cross multiply
    1,214,211x = 2,664,618 × 2,664,618
  4. Step 4: Simplify right side
    1,214,211x = 7,100,189,085,924
  5. Step 5: Solve for x
    x = 7,100,189,085,924/1,214,211
  6. Step 6: Final answer
    x = 5,847,574.34

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