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Finding the Third Proportional to 451,846 and 978,078

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Solution

The third proportional to 451,846 and 978,078 is: 2,117,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,846 : 978,078 = 978,078 : x
  2. Step 2: Convert to fraction form
    451,846/978,078 = 978,078/x
  3. Step 3: Cross multiply
    451,846x = 978,078 × 978,078
  4. Step 4: Simplify right side
    451,846x = 956,636,574,084
  5. Step 5: Solve for x
    x = 956,636,574,084/451,846
  6. Step 6: Final answer
    x = 2,117,173.94

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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.