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Finding the Third Proportional to 435,821 and 948,838

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Solution

The third proportional to 435,821 and 948,838 is: 2,065,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,821 : 948,838 = 948,838 : x
  2. Step 2: Convert to fraction form
    435,821/948,838 = 948,838/x
  3. Step 3: Cross multiply
    435,821x = 948,838 × 948,838
  4. Step 4: Simplify right side
    435,821x = 900,293,550,244
  5. Step 5: Solve for x
    x = 900,293,550,244/435,821
  6. Step 6: Final answer
    x = 2,065,741.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.