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Finding the Third Proportional to 948,823 and 2,066,114

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Solution

The third proportional to 948,823 and 2,066,114 is: 4,499,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,823 : 2,066,114 = 2,066,114 : x
  2. Step 2: Convert to fraction form
    948,823/2,066,114 = 2,066,114/x
  3. Step 3: Cross multiply
    948,823x = 2,066,114 × 2,066,114
  4. Step 4: Simplify right side
    948,823x = 4,268,827,060,996
  5. Step 5: Solve for x
    x = 4,268,827,060,996/948,823
  6. Step 6: Final answer
    x = 4,499,076.29

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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.