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Finding the Third Proportional to 483,438.94 and 1,024,506.56

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Solution

The third proportional to 483,438.94 and 1,024,506.56 is: 2,171,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,438.94 : 1,024,506.56 = 1,024,506.56 : x
  2. Step 2: Convert to fraction form
    483,438.94/1,024,506.56 = 1,024,506.56/x
  3. Step 3: Cross multiply
    483,438.94x = 1,024,506.56 × 1,024,506.56
  4. Step 4: Simplify right side
    483,438.94x = 1,049,613,696,605.57
  5. Step 5: Solve for x
    x = 1,049,613,696,605.57/483,438.94
  6. Step 6: Final answer
    x = 2,171,140.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.