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Finding the Third Proportional to 429,982 and 1,004,075

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Solution

The third proportional to 429,982 and 1,004,075 is: 2,344,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,982 : 1,004,075 = 1,004,075 : x
  2. Step 2: Convert to fraction form
    429,982/1,004,075 = 1,004,075/x
  3. Step 3: Cross multiply
    429,982x = 1,004,075 × 1,004,075
  4. Step 4: Simplify right side
    429,982x = 1,008,166,605,625
  5. Step 5: Solve for x
    x = 1,008,166,605,625/429,982
  6. Step 6: Final answer
    x = 2,344,671.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.