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Finding the Third Proportional to 414,732 and 909,816

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Solution

The third proportional to 414,732 and 909,816 is: 1,995,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,732 : 909,816 = 909,816 : x
  2. Step 2: Convert to fraction form
    414,732/909,816 = 909,816/x
  3. Step 3: Cross multiply
    414,732x = 909,816 × 909,816
  4. Step 4: Simplify right side
    414,732x = 827,765,153,856
  5. Step 5: Solve for x
    x = 827,765,153,856/414,732
  6. Step 6: Final answer
    x = 1,995,903.75

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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.