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Finding the Third Proportional to 1,322,976.75 and 2,869,999.50

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Solution

The third proportional to 1,322,976.75 and 2,869,999.50 is: 6,226,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,976.75 : 2,869,999.50 = 2,869,999.50 : x
  2. Step 2: Convert to fraction form
    1,322,976.75/2,869,999.50 = 2,869,999.50/x
  3. Step 3: Cross multiply
    1,322,976.75x = 2,869,999.50 × 2,869,999.50
  4. Step 4: Simplify right side
    1,322,976.75x = 8,236,897,130,000.25
  5. Step 5: Solve for x
    x = 8,236,897,130,000.25/1,322,976.75
  6. Step 6: Final answer
    x = 6,226,033.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.