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Finding the Third Proportional to 2,698,332.75 and 4,102,751.25

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Solution

The third proportional to 2,698,332.75 and 4,102,751.25 is: 6,238,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,332.75 : 4,102,751.25 = 4,102,751.25 : x
  2. Step 2: Convert to fraction form
    2,698,332.75/4,102,751.25 = 4,102,751.25/x
  3. Step 3: Cross multiply
    2,698,332.75x = 4,102,751.25 × 4,102,751.25
  4. Step 4: Simplify right side
    2,698,332.75x = 16,832,567,819,376.56
  5. Step 5: Solve for x
    x = 16,832,567,819,376.56/2,698,332.75
  6. Step 6: Final answer
    x = 6,238,136.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.