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Finding the Third Proportional to 1,740,014 and 2,450,355

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Solution

The third proportional to 1,740,014 and 2,450,355 is: 3,450,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,014 : 2,450,355 = 2,450,355 : x
  2. Step 2: Convert to fraction form
    1,740,014/2,450,355 = 2,450,355/x
  3. Step 3: Cross multiply
    1,740,014x = 2,450,355 × 2,450,355
  4. Step 4: Simplify right side
    1,740,014x = 6,004,239,626,025
  5. Step 5: Solve for x
    x = 6,004,239,626,025/1,740,014
  6. Step 6: Final answer
    x = 3,450,684.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.