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Finding the Third Proportional to 874,057 and 1,901,932

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Solution

The third proportional to 874,057 and 1,901,932 is: 4,138,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,057 : 1,901,932 = 1,901,932 : x
  2. Step 2: Convert to fraction form
    874,057/1,901,932 = 1,901,932/x
  3. Step 3: Cross multiply
    874,057x = 1,901,932 × 1,901,932
  4. Step 4: Simplify right side
    874,057x = 3,617,345,332,624
  5. Step 5: Solve for x
    x = 3,617,345,332,624/874,057
  6. Step 6: Final answer
    x = 4,138,569.15

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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.