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Finding the Third Proportional to 1,954,050.75 and 4,242,321

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Solution

The third proportional to 1,954,050.75 and 4,242,321 is: 9,210,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,050.75 : 4,242,321 = 4,242,321 : x
  2. Step 2: Convert to fraction form
    1,954,050.75/4,242,321 = 4,242,321/x
  3. Step 3: Cross multiply
    1,954,050.75x = 4,242,321 × 4,242,321
  4. Step 4: Simplify right side
    1,954,050.75x = 17,997,287,467,041
  5. Step 5: Solve for x
    x = 17,997,287,467,041/1,954,050.75
  6. Step 6: Final answer
    x = 9,210,245.67

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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.