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Finding the Third Proportional to 483,146 and 1,024,756

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Solution

The third proportional to 483,146 and 1,024,756 is: 2,173,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,146 : 1,024,756 = 1,024,756 : x
  2. Step 2: Convert to fraction form
    483,146/1,024,756 = 1,024,756/x
  3. Step 3: Cross multiply
    483,146x = 1,024,756 × 1,024,756
  4. Step 4: Simplify right side
    483,146x = 1,050,124,859,536
  5. Step 5: Solve for x
    x = 1,050,124,859,536/483,146
  6. Step 6: Final answer
    x = 2,173,514.55

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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.