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Finding the Third Proportional to 453,408 and 993,004

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Solution

The third proportional to 453,408 and 993,004 is: 2,174,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,408 : 993,004 = 993,004 : x
  2. Step 2: Convert to fraction form
    453,408/993,004 = 993,004/x
  3. Step 3: Cross multiply
    453,408x = 993,004 × 993,004
  4. Step 4: Simplify right side
    453,408x = 986,056,944,016
  5. Step 5: Solve for x
    x = 986,056,944,016/453,408
  6. Step 6: Final answer
    x = 2,174,767.41

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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.