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Finding the Third Proportional to 1,032,057 and 2,331,680

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Solution

The third proportional to 1,032,057 and 2,331,680 is: 5,267,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,057 : 2,331,680 = 2,331,680 : x
  2. Step 2: Convert to fraction form
    1,032,057/2,331,680 = 2,331,680/x
  3. Step 3: Cross multiply
    1,032,057x = 2,331,680 × 2,331,680
  4. Step 4: Simplify right side
    1,032,057x = 5,436,731,622,400
  5. Step 5: Solve for x
    x = 5,436,731,622,400/1,032,057
  6. Step 6: Final answer
    x = 5,267,859.84

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.