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Finding the Third Proportional to 414,624 and 858,768

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Solution

The third proportional to 414,624 and 858,768 is: 1,778,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,624 : 858,768 = 858,768 : x
  2. Step 2: Convert to fraction form
    414,624/858,768 = 858,768/x
  3. Step 3: Cross multiply
    414,624x = 858,768 × 858,768
  4. Step 4: Simplify right side
    414,624x = 737,482,477,824
  5. Step 5: Solve for x
    x = 737,482,477,824/414,624
  6. Step 6: Final answer
    x = 1,778,677.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.