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Finding the Third Proportional to 414,720 and 907,356

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Solution

The third proportional to 414,720 and 907,356 is: 1,985,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,720 : 907,356 = 907,356 : x
  2. Step 2: Convert to fraction form
    414,720/907,356 = 907,356/x
  3. Step 3: Cross multiply
    414,720x = 907,356 × 907,356
  4. Step 4: Simplify right side
    414,720x = 823,294,910,736
  5. Step 5: Solve for x
    x = 823,294,910,736/414,720
  6. Step 6: Final answer
    x = 1,985,182.56

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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.