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Finding the Third Proportional to 656,469 and 1,424,977

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Solution

The third proportional to 656,469 and 1,424,977 is: 3,093,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,469 : 1,424,977 = 1,424,977 : x
  2. Step 2: Convert to fraction form
    656,469/1,424,977 = 1,424,977/x
  3. Step 3: Cross multiply
    656,469x = 1,424,977 × 1,424,977
  4. Step 4: Simplify right side
    656,469x = 2,030,559,450,529
  5. Step 5: Solve for x
    x = 2,030,559,450,529/656,469
  6. Step 6: Final answer
    x = 3,093,153.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.