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Finding the Third Proportional to 414,729 and 909,810

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Solution

The third proportional to 414,729 and 909,810 is: 1,995,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729 : 909,810 = 909,810 : x
  2. Step 2: Convert to fraction form
    414,729/909,810 = 909,810/x
  3. Step 3: Cross multiply
    414,729x = 909,810 × 909,810
  4. Step 4: Simplify right side
    414,729x = 827,754,236,100
  5. Step 5: Solve for x
    x = 827,754,236,100/414,729
  6. Step 6: Final answer
    x = 1,995,891.86

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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.