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Finding the Third Proportional to 483,006 and 1,059,324

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Solution

The third proportional to 483,006 and 1,059,324 is: 2,323,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,006 : 1,059,324 = 1,059,324 : x
  2. Step 2: Convert to fraction form
    483,006/1,059,324 = 1,059,324/x
  3. Step 3: Cross multiply
    483,006x = 1,059,324 × 1,059,324
  4. Step 4: Simplify right side
    483,006x = 1,122,167,336,976
  5. Step 5: Solve for x
    x = 1,122,167,336,976/483,006
  6. Step 6: Final answer
    x = 2,323,298.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.