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Finding the Third Proportional to 2,711,889.50 and 4,102,824

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Solution

The third proportional to 2,711,889.50 and 4,102,824 is: 6,207,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,889.50 : 4,102,824 = 4,102,824 : x
  2. Step 2: Convert to fraction form
    2,711,889.50/4,102,824 = 4,102,824/x
  3. Step 3: Cross multiply
    2,711,889.50x = 4,102,824 × 4,102,824
  4. Step 4: Simplify right side
    2,711,889.50x = 16,833,164,774,976
  5. Step 5: Solve for x
    x = 16,833,164,774,976/2,711,889.50
  6. Step 6: Final answer
    x = 6,207,172.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.