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Finding the Third Proportional to 1,937,696 and 4,525,893.75

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Solution

The third proportional to 1,937,696 and 4,525,893.75 is: 10,571,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,696 : 4,525,893.75 = 4,525,893.75 : x
  2. Step 2: Convert to fraction form
    1,937,696/4,525,893.75 = 4,525,893.75/x
  3. Step 3: Cross multiply
    1,937,696x = 4,525,893.75 × 4,525,893.75
  4. Step 4: Simplify right side
    1,937,696x = 20,483,714,236,289.06
  5. Step 5: Solve for x
    x = 20,483,714,236,289.06/1,937,696
  6. Step 6: Final answer
    x = 10,571,170.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.