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Finding the Third Proportional to 493,485.75 and 1,076,211

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Solution

The third proportional to 493,485.75 and 1,076,211 is: 2,347,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,485.75 : 1,076,211 = 1,076,211 : x
  2. Step 2: Convert to fraction form
    493,485.75/1,076,211 = 1,076,211/x
  3. Step 3: Cross multiply
    493,485.75x = 1,076,211 × 1,076,211
  4. Step 4: Simplify right side
    493,485.75x = 1,158,230,116,521
  5. Step 5: Solve for x
    x = 1,158,230,116,521/493,485.75
  6. Step 6: Final answer
    x = 2,347,038.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.