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Finding the Third Proportional to 2,147,764.50 and 4,631,769

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Solution

The third proportional to 2,147,764.50 and 4,631,769 is: 9,988,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,764.50 : 4,631,769 = 4,631,769 : x
  2. Step 2: Convert to fraction form
    2,147,764.50/4,631,769 = 4,631,769/x
  3. Step 3: Cross multiply
    2,147,764.50x = 4,631,769 × 4,631,769
  4. Step 4: Simplify right side
    2,147,764.50x = 21,453,284,069,361
  5. Step 5: Solve for x
    x = 21,453,284,069,361/2,147,764.50
  6. Step 6: Final answer
    x = 9,988,657.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.