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Finding the Third Proportional to 978,492 and 1,496,910

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Solution

The third proportional to 978,492 and 1,496,910 is: 2,289,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,492 : 1,496,910 = 1,496,910 : x
  2. Step 2: Convert to fraction form
    978,492/1,496,910 = 1,496,910/x
  3. Step 3: Cross multiply
    978,492x = 1,496,910 × 1,496,910
  4. Step 4: Simplify right side
    978,492x = 2,240,739,548,100
  5. Step 5: Solve for x
    x = 2,240,739,548,100/978,492
  6. Step 6: Final answer
    x = 2,289,992.71

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