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Finding the Third Proportional to 414,723 and 909,798

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Solution

The third proportional to 414,723 and 909,798 is: 1,995,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,723 : 909,798 = 909,798 : x
  2. Step 2: Convert to fraction form
    414,723/909,798 = 909,798/x
  3. Step 3: Cross multiply
    414,723x = 909,798 × 909,798
  4. Step 4: Simplify right side
    414,723x = 827,732,400,804
  5. Step 5: Solve for x
    x = 827,732,400,804/414,723
  6. Step 6: Final answer
    x = 1,995,868.09

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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.