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Finding the Third Proportional to 2,952,481.50 and 4,821,100.50

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Solution

The third proportional to 2,952,481.50 and 4,821,100.50 is: 7,872,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,481.50 : 4,821,100.50 = 4,821,100.50 : x
  2. Step 2: Convert to fraction form
    2,952,481.50/4,821,100.50 = 4,821,100.50/x
  3. Step 3: Cross multiply
    2,952,481.50x = 4,821,100.50 × 4,821,100.50
  4. Step 4: Simplify right side
    2,952,481.50x = 23,243,010,031,100.25
  5. Step 5: Solve for x
    x = 23,243,010,031,100.25/2,952,481.50
  6. Step 6: Final answer
    x = 7,872,364.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.