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Finding the Third Proportional to 458,075 and 997,463

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Solution

The third proportional to 458,075 and 997,463 is: 2,171,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,075 : 997,463 = 997,463 : x
  2. Step 2: Convert to fraction form
    458,075/997,463 = 997,463/x
  3. Step 3: Cross multiply
    458,075x = 997,463 × 997,463
  4. Step 4: Simplify right side
    458,075x = 994,932,436,369
  5. Step 5: Solve for x
    x = 994,932,436,369/458,075
  6. Step 6: Final answer
    x = 2,171,985.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.