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Finding the Third Proportional to 507,198 and 1,095,618

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Solution

The third proportional to 507,198 and 1,095,618 is: 2,366,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,198 : 1,095,618 = 1,095,618 : x
  2. Step 2: Convert to fraction form
    507,198/1,095,618 = 1,095,618/x
  3. Step 3: Cross multiply
    507,198x = 1,095,618 × 1,095,618
  4. Step 4: Simplify right side
    507,198x = 1,200,378,801,924
  5. Step 5: Solve for x
    x = 1,200,378,801,924/507,198
  6. Step 6: Final answer
    x = 2,366,686.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.