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Finding the Third Proportional to 453,546 and 993,024

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Solution

The third proportional to 453,546 and 993,024 is: 2,174,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,546 : 993,024 = 993,024 : x
  2. Step 2: Convert to fraction form
    453,546/993,024 = 993,024/x
  3. Step 3: Cross multiply
    453,546x = 993,024 × 993,024
  4. Step 4: Simplify right side
    453,546x = 986,096,664,576
  5. Step 5: Solve for x
    x = 986,096,664,576/453,546
  6. Step 6: Final answer
    x = 2,174,193.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.