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Finding the Third Proportional to 1,581,669 and 3,403,636

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Solution

The third proportional to 1,581,669 and 3,403,636 is: 7,324,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,669 : 3,403,636 = 3,403,636 : x
  2. Step 2: Convert to fraction form
    1,581,669/3,403,636 = 3,403,636/x
  3. Step 3: Cross multiply
    1,581,669x = 3,403,636 × 3,403,636
  4. Step 4: Simplify right side
    1,581,669x = 11,584,738,020,496
  5. Step 5: Solve for x
    x = 11,584,738,020,496/1,581,669
  6. Step 6: Final answer
    x = 7,324,375.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.