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Finding the Third Proportional to 483,144 and 1,024,752

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Solution

The third proportional to 483,144 and 1,024,752 is: 2,173,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,144 : 1,024,752 = 1,024,752 : x
  2. Step 2: Convert to fraction form
    483,144/1,024,752 = 1,024,752/x
  3. Step 3: Cross multiply
    483,144x = 1,024,752 × 1,024,752
  4. Step 4: Simplify right side
    483,144x = 1,050,116,661,504
  5. Step 5: Solve for x
    x = 1,050,116,661,504/483,144
  6. Step 6: Final answer
    x = 2,173,506.58

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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.