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Finding the Third Proportional to 654,818 and 978,193

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Solution

The third proportional to 654,818 and 978,193 is: 1,461,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,818 : 978,193 = 978,193 : x
  2. Step 2: Convert to fraction form
    654,818/978,193 = 978,193/x
  3. Step 3: Cross multiply
    654,818x = 978,193 × 978,193
  4. Step 4: Simplify right side
    654,818x = 956,861,545,249
  5. Step 5: Solve for x
    x = 956,861,545,249/654,818
  6. Step 6: Final answer
    x = 1,461,263.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.