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Finding the Third Proportional to 1,214,682 and 1,775,205

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Solution

The third proportional to 1,214,682 and 1,775,205 is: 2,594,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,682 : 1,775,205 = 1,775,205 : x
  2. Step 2: Convert to fraction form
    1,214,682/1,775,205 = 1,775,205/x
  3. Step 3: Cross multiply
    1,214,682x = 1,775,205 × 1,775,205
  4. Step 4: Simplify right side
    1,214,682x = 3,151,352,792,025
  5. Step 5: Solve for x
    x = 3,151,352,792,025/1,214,682
  6. Step 6: Final answer
    x = 2,594,385.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.