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Finding the Third Proportional to 2,414,205 and 4,939,123.50

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Solution

The third proportional to 2,414,205 and 4,939,123.50 is: 10,104,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,205 : 4,939,123.50 = 4,939,123.50 : x
  2. Step 2: Convert to fraction form
    2,414,205/4,939,123.50 = 4,939,123.50/x
  3. Step 3: Cross multiply
    2,414,205x = 4,939,123.50 × 4,939,123.50
  4. Step 4: Simplify right side
    2,414,205x = 24,394,940,948,252.25
  5. Step 5: Solve for x
    x = 24,394,940,948,252.25/2,414,205
  6. Step 6: Final answer
    x = 10,104,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.