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Finding the Third Proportional to 414,204 and 893,646

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Solution

The third proportional to 414,204 and 893,646 is: 1,928,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,204 : 893,646 = 893,646 : x
  2. Step 2: Convert to fraction form
    414,204/893,646 = 893,646/x
  3. Step 3: Cross multiply
    414,204x = 893,646 × 893,646
  4. Step 4: Simplify right side
    414,204x = 798,603,173,316
  5. Step 5: Solve for x
    x = 798,603,173,316/414,204
  6. Step 6: Final answer
    x = 1,928,043.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.