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Finding the Third Proportional to 978,134 and 2,019,122

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Solution

The third proportional to 978,134 and 2,019,122 is: 4,167,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,134 : 2,019,122 = 2,019,122 : x
  2. Step 2: Convert to fraction form
    978,134/2,019,122 = 2,019,122/x
  3. Step 3: Cross multiply
    978,134x = 2,019,122 × 2,019,122
  4. Step 4: Simplify right side
    978,134x = 4,076,853,650,884
  5. Step 5: Solve for x
    x = 4,076,853,650,884/978,134
  6. Step 6: Final answer
    x = 4,167,990.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.