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Finding the Third Proportional to 450,664 and 978,358

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Solution

The third proportional to 450,664 and 978,358 is: 2,123,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,664 : 978,358 = 978,358 : x
  2. Step 2: Convert to fraction form
    450,664/978,358 = 978,358/x
  3. Step 3: Cross multiply
    450,664x = 978,358 × 978,358
  4. Step 4: Simplify right side
    450,664x = 957,184,376,164
  5. Step 5: Solve for x
    x = 957,184,376,164/450,664
  6. Step 6: Final answer
    x = 2,123,942.40

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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.