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Finding the Third Proportional to 2,704,739.50 and 4,212,205

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Solution

The third proportional to 2,704,739.50 and 4,212,205 is: 6,559,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,739.50 : 4,212,205 = 4,212,205 : x
  2. Step 2: Convert to fraction form
    2,704,739.50/4,212,205 = 4,212,205/x
  3. Step 3: Cross multiply
    2,704,739.50x = 4,212,205 × 4,212,205
  4. Step 4: Simplify right side
    2,704,739.50x = 17,742,670,962,025
  5. Step 5: Solve for x
    x = 17,742,670,962,025/2,704,739.50
  6. Step 6: Final answer
    x = 6,559,844.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.