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Finding the Third Proportional to 1,926,405.75 and 2,833,749

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Solution

The third proportional to 1,926,405.75 and 2,833,749 is: 4,168,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,405.75 : 2,833,749 = 2,833,749 : x
  2. Step 2: Convert to fraction form
    1,926,405.75/2,833,749 = 2,833,749/x
  3. Step 3: Cross multiply
    1,926,405.75x = 2,833,749 × 2,833,749
  4. Step 4: Simplify right side
    1,926,405.75x = 8,030,133,395,001
  5. Step 5: Solve for x
    x = 8,030,133,395,001/1,926,405.75
  6. Step 6: Final answer
    x = 4,168,453.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.