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Finding the Third Proportional to 414,727 and 909,806

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Solution

The third proportional to 414,727 and 909,806 is: 1,995,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,727 : 909,806 = 909,806 : x
  2. Step 2: Convert to fraction form
    414,727/909,806 = 909,806/x
  3. Step 3: Cross multiply
    414,727x = 909,806 × 909,806
  4. Step 4: Simplify right side
    414,727x = 827,746,957,636
  5. Step 5: Solve for x
    x = 827,746,957,636/414,727
  6. Step 6: Final answer
    x = 1,995,883.94

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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.