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Finding the Third Proportional to 2,104,977 and 2,932,756.50

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Solution

The third proportional to 2,104,977 and 2,932,756.50 is: 4,086,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,977 : 2,932,756.50 = 2,932,756.50 : x
  2. Step 2: Convert to fraction form
    2,104,977/2,932,756.50 = 2,932,756.50/x
  3. Step 3: Cross multiply
    2,104,977x = 2,932,756.50 × 2,932,756.50
  4. Step 4: Simplify right side
    2,104,977x = 8,601,060,688,292.25
  5. Step 5: Solve for x
    x = 8,601,060,688,292.25/2,104,977
  6. Step 6: Final answer
    x = 4,086,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.