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Finding the Third Proportional to 414,196 and 893,630

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Solution

The third proportional to 414,196 and 893,630 is: 1,928,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,196 : 893,630 = 893,630 : x
  2. Step 2: Convert to fraction form
    414,196/893,630 = 893,630/x
  3. Step 3: Cross multiply
    414,196x = 893,630 × 893,630
  4. Step 4: Simplify right side
    414,196x = 798,574,576,900
  5. Step 5: Solve for x
    x = 798,574,576,900/414,196
  6. Step 6: Final answer
    x = 1,928,011.32

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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.