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Finding the Third Proportional to 1,450,415.25 and 3,020,025.38

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Solution

The third proportional to 1,450,415.25 and 3,020,025.38 is: 6,288,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,415.25 : 3,020,025.38 = 3,020,025.38 : x
  2. Step 2: Convert to fraction form
    1,450,415.25/3,020,025.38 = 3,020,025.38/x
  3. Step 3: Cross multiply
    1,450,415.25x = 3,020,025.38 × 3,020,025.38
  4. Step 4: Simplify right side
    1,450,415.25x = 9,120,553,265,643.89
  5. Step 5: Solve for x
    x = 9,120,553,265,643.89/1,450,415.25
  6. Step 6: Final answer
    x = 6,288,235.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.