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Finding the Third Proportional to 414,806 and 909,964

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Solution

The third proportional to 414,806 and 909,964 is: 1,996,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,806 : 909,964 = 909,964 : x
  2. Step 2: Convert to fraction form
    414,806/909,964 = 909,964/x
  3. Step 3: Cross multiply
    414,806x = 909,964 × 909,964
  4. Step 4: Simplify right side
    414,806x = 828,034,481,296
  5. Step 5: Solve for x
    x = 828,034,481,296/414,806
  6. Step 6: Final answer
    x = 1,996,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.