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Finding the Third Proportional to 654,918 and 978,330

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Solution

The third proportional to 654,918 and 978,330 is: 1,461,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,918 : 978,330 = 978,330 : x
  2. Step 2: Convert to fraction form
    654,918/978,330 = 978,330/x
  3. Step 3: Cross multiply
    654,918x = 978,330 × 978,330
  4. Step 4: Simplify right side
    654,918x = 957,129,588,900
  5. Step 5: Solve for x
    x = 957,129,588,900/654,918
  6. Step 6: Final answer
    x = 1,461,449.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.