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Finding the Third Proportional to 1,397,556 and 2,109,618

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Solution

The third proportional to 1,397,556 and 2,109,618 is: 3,184,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,556 : 2,109,618 = 2,109,618 : x
  2. Step 2: Convert to fraction form
    1,397,556/2,109,618 = 2,109,618/x
  3. Step 3: Cross multiply
    1,397,556x = 2,109,618 × 2,109,618
  4. Step 4: Simplify right side
    1,397,556x = 4,450,488,105,924
  5. Step 5: Solve for x
    x = 4,450,488,105,924/1,397,556
  6. Step 6: Final answer
    x = 3,184,479.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.