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Finding the Third Proportional to 948,821 and 2,066,110

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Solution

The third proportional to 948,821 and 2,066,110 is: 4,499,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,821 : 2,066,110 = 2,066,110 : x
  2. Step 2: Convert to fraction form
    948,821/2,066,110 = 2,066,110/x
  3. Step 3: Cross multiply
    948,821x = 2,066,110 × 2,066,110
  4. Step 4: Simplify right side
    948,821x = 4,268,810,532,100
  5. Step 5: Solve for x
    x = 4,268,810,532,100/948,821
  6. Step 6: Final answer
    x = 4,499,068.35

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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.