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Finding the Third Proportional to 1,299,658.50 and 2,898,147.94

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Solution

The third proportional to 1,299,658.50 and 2,898,147.94 is: 6,462,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,658.50 : 2,898,147.94 = 2,898,147.94 : x
  2. Step 2: Convert to fraction form
    1,299,658.50/2,898,147.94 = 2,898,147.94/x
  3. Step 3: Cross multiply
    1,299,658.50x = 2,898,147.94 × 2,898,147.94
  4. Step 4: Simplify right side
    1,299,658.50x = 8,399,261,467,635.50
  5. Step 5: Solve for x
    x = 8,399,261,467,635.50/1,299,658.50
  6. Step 6: Final answer
    x = 6,462,668.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.