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Finding the Third Proportional to 455,589 and 997,038

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Solution

The third proportional to 455,589 and 997,038 is: 2,181,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,589 : 997,038 = 997,038 : x
  2. Step 2: Convert to fraction form
    455,589/997,038 = 997,038/x
  3. Step 3: Cross multiply
    455,589x = 997,038 × 997,038
  4. Step 4: Simplify right side
    455,589x = 994,084,773,444
  5. Step 5: Solve for x
    x = 994,084,773,444/455,589
  6. Step 6: Final answer
    x = 2,181,977.12

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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.