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Finding the Third Proportional to 1,229,196 and 1,923,991.50

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Solution

The third proportional to 1,229,196 and 1,923,991.50 is: 3,011,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,196 : 1,923,991.50 = 1,923,991.50 : x
  2. Step 2: Convert to fraction form
    1,229,196/1,923,991.50 = 1,923,991.50/x
  3. Step 3: Cross multiply
    1,229,196x = 1,923,991.50 × 1,923,991.50
  4. Step 4: Simplify right side
    1,229,196x = 3,701,743,292,072.25
  5. Step 5: Solve for x
    x = 3,701,743,292,072.25/1,229,196
  6. Step 6: Final answer
    x = 3,011,515.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.