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Finding the Third Proportional to 483,164 and 1,024,792

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Solution

The third proportional to 483,164 and 1,024,792 is: 2,173,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,164 : 1,024,792 = 1,024,792 : x
  2. Step 2: Convert to fraction form
    483,164/1,024,792 = 1,024,792/x
  3. Step 3: Cross multiply
    483,164x = 1,024,792 × 1,024,792
  4. Step 4: Simplify right side
    483,164x = 1,050,198,643,264
  5. Step 5: Solve for x
    x = 1,050,198,643,264/483,164
  6. Step 6: Final answer
    x = 2,173,586.28

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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.