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Finding the Third Proportional to 837,783 and 1,808,393

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Solution

The third proportional to 837,783 and 1,808,393 is: 3,903,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,783 : 1,808,393 = 1,808,393 : x
  2. Step 2: Convert to fraction form
    837,783/1,808,393 = 1,808,393/x
  3. Step 3: Cross multiply
    837,783x = 1,808,393 × 1,808,393
  4. Step 4: Simplify right side
    837,783x = 3,270,285,242,449
  5. Step 5: Solve for x
    x = 3,270,285,242,449/837,783
  6. Step 6: Final answer
    x = 3,903,499.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.