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Finding the Third Proportional to 462,276 and 994,536

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Solution

The third proportional to 462,276 and 994,536 is: 2,139,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,276 : 994,536 = 994,536 : x
  2. Step 2: Convert to fraction form
    462,276/994,536 = 994,536/x
  3. Step 3: Cross multiply
    462,276x = 994,536 × 994,536
  4. Step 4: Simplify right side
    462,276x = 989,101,855,296
  5. Step 5: Solve for x
    x = 989,101,855,296/462,276
  6. Step 6: Final answer
    x = 2,139,634.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.