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Finding the Third Proportional to 451,840.50 and 978,068

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Solution

The third proportional to 451,840.50 and 978,068 is: 2,117,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,840.50 : 978,068 = 978,068 : x
  2. Step 2: Convert to fraction form
    451,840.50/978,068 = 978,068/x
  3. Step 3: Cross multiply
    451,840.50x = 978,068 × 978,068
  4. Step 4: Simplify right side
    451,840.50x = 956,617,012,624
  5. Step 5: Solve for x
    x = 956,617,012,624/451,840.50
  6. Step 6: Final answer
    x = 2,117,156.41

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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.