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Finding the Third Proportional to 948,960 and 2,073,024

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Solution

The third proportional to 948,960 and 2,073,024 is: 4,528,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,960 : 2,073,024 = 2,073,024 : x
  2. Step 2: Convert to fraction form
    948,960/2,073,024 = 2,073,024/x
  3. Step 3: Cross multiply
    948,960x = 2,073,024 × 2,073,024
  4. Step 4: Simplify right side
    948,960x = 4,297,428,504,576
  5. Step 5: Solve for x
    x = 4,297,428,504,576/948,960
  6. Step 6: Final answer
    x = 4,528,566.54

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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.