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Finding the Third Proportional to 483,152 and 1,024,768

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Solution

The third proportional to 483,152 and 1,024,768 is: 2,173,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,152 : 1,024,768 = 1,024,768 : x
  2. Step 2: Convert to fraction form
    483,152/1,024,768 = 1,024,768/x
  3. Step 3: Cross multiply
    483,152x = 1,024,768 × 1,024,768
  4. Step 4: Simplify right side
    483,152x = 1,050,149,453,824
  5. Step 5: Solve for x
    x = 1,050,149,453,824/483,152
  6. Step 6: Final answer
    x = 2,173,538.46

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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.