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Finding the Third Proportional to 981,600 and 2,076,376

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Solution

The third proportional to 981,600 and 2,076,376 is: 4,392,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,600 : 2,076,376 = 2,076,376 : x
  2. Step 2: Convert to fraction form
    981,600/2,076,376 = 2,076,376/x
  3. Step 3: Cross multiply
    981,600x = 2,076,376 × 2,076,376
  4. Step 4: Simplify right side
    981,600x = 4,311,337,293,376
  5. Step 5: Solve for x
    x = 4,311,337,293,376/981,600
  6. Step 6: Final answer
    x = 4,392,152.91

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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.