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Finding the Third Proportional to 488,102.25 and 999,991.50

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Solution

The third proportional to 488,102.25 and 999,991.50 is: 2,048,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,102.25 : 999,991.50 = 999,991.50 : x
  2. Step 2: Convert to fraction form
    488,102.25/999,991.50 = 999,991.50/x
  3. Step 3: Cross multiply
    488,102.25x = 999,991.50 × 999,991.50
  4. Step 4: Simplify right side
    488,102.25x = 999,983,000,072.25
  5. Step 5: Solve for x
    x = 999,983,000,072.25/488,102.25
  6. Step 6: Final answer
    x = 2,048,716.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.