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Finding the Third Proportional to 450,672 and 978,374

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Solution

The third proportional to 450,672 and 978,374 is: 2,123,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,672 : 978,374 = 978,374 : x
  2. Step 2: Convert to fraction form
    450,672/978,374 = 978,374/x
  3. Step 3: Cross multiply
    450,672x = 978,374 × 978,374
  4. Step 4: Simplify right side
    450,672x = 957,215,683,876
  5. Step 5: Solve for x
    x = 957,215,683,876/450,672
  6. Step 6: Final answer
    x = 2,123,974.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.