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Finding the Third Proportional to 492,618 and 1,058,907

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Solution

The third proportional to 492,618 and 1,058,907 is: 2,276,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,618 : 1,058,907 = 1,058,907 : x
  2. Step 2: Convert to fraction form
    492,618/1,058,907 = 1,058,907/x
  3. Step 3: Cross multiply
    492,618x = 1,058,907 × 1,058,907
  4. Step 4: Simplify right side
    492,618x = 1,121,284,034,649
  5. Step 5: Solve for x
    x = 1,121,284,034,649/492,618
  6. Step 6: Final answer
    x = 2,276,173.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.