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Finding the Third Proportional to 1,619,684 and 3,544,424

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Solution

The third proportional to 1,619,684 and 3,544,424 is: 7,756,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,684 : 3,544,424 = 3,544,424 : x
  2. Step 2: Convert to fraction form
    1,619,684/3,544,424 = 3,544,424/x
  3. Step 3: Cross multiply
    1,619,684x = 3,544,424 × 3,544,424
  4. Step 4: Simplify right side
    1,619,684x = 12,562,941,491,776
  5. Step 5: Solve for x
    x = 12,562,941,491,776/1,619,684
  6. Step 6: Final answer
    x = 7,756,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.