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Finding the Third Proportional to 453,658 and 978,186

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Solution

The third proportional to 453,658 and 978,186 is: 2,109,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,658 : 978,186 = 978,186 : x
  2. Step 2: Convert to fraction form
    453,658/978,186 = 978,186/x
  3. Step 3: Cross multiply
    453,658x = 978,186 × 978,186
  4. Step 4: Simplify right side
    453,658x = 956,847,850,596
  5. Step 5: Solve for x
    x = 956,847,850,596/453,658
  6. Step 6: Final answer
    x = 2,109,183.24

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