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Finding the Third Proportional to 483,148 and 1,024,760

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Solution

The third proportional to 483,148 and 1,024,760 is: 2,173,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,148 : 1,024,760 = 1,024,760 : x
  2. Step 2: Convert to fraction form
    483,148/1,024,760 = 1,024,760/x
  3. Step 3: Cross multiply
    483,148x = 1,024,760 × 1,024,760
  4. Step 4: Simplify right side
    483,148x = 1,050,133,057,600
  5. Step 5: Solve for x
    x = 1,050,133,057,600/483,148
  6. Step 6: Final answer
    x = 2,173,522.52

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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.