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Finding the Third Proportional to 2,906,538.50 and 6,788,824

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Solution

The third proportional to 2,906,538.50 and 6,788,824 is: 15,856,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,538.50 : 6,788,824 = 6,788,824 : x
  2. Step 2: Convert to fraction form
    2,906,538.50/6,788,824 = 6,788,824/x
  3. Step 3: Cross multiply
    2,906,538.50x = 6,788,824 × 6,788,824
  4. Step 4: Simplify right side
    2,906,538.50x = 46,088,131,302,976
  5. Step 5: Solve for x
    x = 46,088,131,302,976/2,906,538.50
  6. Step 6: Final answer
    x = 15,856,707.66

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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.