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Finding the Third Proportional to 859,462 and 1,821,373.50

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Solution

The third proportional to 859,462 and 1,821,373.50 is: 3,859,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,462 : 1,821,373.50 = 1,821,373.50 : x
  2. Step 2: Convert to fraction form
    859,462/1,821,373.50 = 1,821,373.50/x
  3. Step 3: Cross multiply
    859,462x = 1,821,373.50 × 1,821,373.50
  4. Step 4: Simplify right side
    859,462x = 3,317,401,426,502.25
  5. Step 5: Solve for x
    x = 3,317,401,426,502.25/859,462
  6. Step 6: Final answer
    x = 3,859,858.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.