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Finding the Third Proportional to 948,146 and 2,066,716

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Solution

The third proportional to 948,146 and 2,066,716 is: 4,504,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,146 : 2,066,716 = 2,066,716 : x
  2. Step 2: Convert to fraction form
    948,146/2,066,716 = 2,066,716/x
  3. Step 3: Cross multiply
    948,146x = 2,066,716 × 2,066,716
  4. Step 4: Simplify right side
    948,146x = 4,271,315,024,656
  5. Step 5: Solve for x
    x = 4,271,315,024,656/948,146
  6. Step 6: Final answer
    x = 4,504,912.77

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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.