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Finding the Third Proportional to 493,469 and 1,076,180

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Solution

The third proportional to 493,469 and 1,076,180 is: 2,346,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,469 : 1,076,180 = 1,076,180 : x
  2. Step 2: Convert to fraction form
    493,469/1,076,180 = 1,076,180/x
  3. Step 3: Cross multiply
    493,469x = 1,076,180 × 1,076,180
  4. Step 4: Simplify right side
    493,469x = 1,158,163,392,400
  5. Step 5: Solve for x
    x = 1,158,163,392,400/493,469
  6. Step 6: Final answer
    x = 2,346,983.08

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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.