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Finding the Third Proportional to 1,300,369.50 and 2,822,325.75

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Solution

The third proportional to 1,300,369.50 and 2,822,325.75 is: 6,125,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,369.50 : 2,822,325.75 = 2,822,325.75 : x
  2. Step 2: Convert to fraction form
    1,300,369.50/2,822,325.75 = 2,822,325.75/x
  3. Step 3: Cross multiply
    1,300,369.50x = 2,822,325.75 × 2,822,325.75
  4. Step 4: Simplify right side
    1,300,369.50x = 7,965,522,639,113.06
  5. Step 5: Solve for x
    x = 7,965,522,639,113.06/1,300,369.50
  6. Step 6: Final answer
    x = 6,125,584.03

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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.