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Finding the Third Proportional to 1,610,214 and 3,290,340

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Solution

The third proportional to 1,610,214 and 3,290,340 is: 6,723,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,214 : 3,290,340 = 3,290,340 : x
  2. Step 2: Convert to fraction form
    1,610,214/3,290,340 = 3,290,340/x
  3. Step 3: Cross multiply
    1,610,214x = 3,290,340 × 3,290,340
  4. Step 4: Simplify right side
    1,610,214x = 10,826,337,315,600
  5. Step 5: Solve for x
    x = 10,826,337,315,600/1,610,214
  6. Step 6: Final answer
    x = 6,723,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.