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Finding the Third Proportional to 978,016 and 1,496,085

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Solution

The third proportional to 978,016 and 1,496,085 is: 2,288,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,016 : 1,496,085 = 1,496,085 : x
  2. Step 2: Convert to fraction form
    978,016/1,496,085 = 1,496,085/x
  3. Step 3: Cross multiply
    978,016x = 1,496,085 × 1,496,085
  4. Step 4: Simplify right side
    978,016x = 2,238,270,327,225
  5. Step 5: Solve for x
    x = 2,238,270,327,225/978,016
  6. Step 6: Final answer
    x = 2,288,582.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.