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Finding the Third Proportional to 453,996 and 986,616

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Solution

The third proportional to 453,996 and 986,616 is: 2,144,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,996 : 986,616 = 986,616 : x
  2. Step 2: Convert to fraction form
    453,996/986,616 = 986,616/x
  3. Step 3: Cross multiply
    453,996x = 986,616 × 986,616
  4. Step 4: Simplify right side
    453,996x = 973,411,131,456
  5. Step 5: Solve for x
    x = 973,411,131,456/453,996
  6. Step 6: Final answer
    x = 2,144,096.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.