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Finding the Third Proportional to 981,574 and 2,076,321

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Solution

The third proportional to 981,574 and 2,076,321 is: 4,392,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,574 : 2,076,321 = 2,076,321 : x
  2. Step 2: Convert to fraction form
    981,574/2,076,321 = 2,076,321/x
  3. Step 3: Cross multiply
    981,574x = 2,076,321 × 2,076,321
  4. Step 4: Simplify right side
    981,574x = 4,311,108,895,041
  5. Step 5: Solve for x
    x = 4,311,108,895,041/981,574
  6. Step 6: Final answer
    x = 4,392,036.56

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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.