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Finding the Third Proportional to 1,617,491 and 3,462,196

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Solution

The third proportional to 1,617,491 and 3,462,196 is: 7,410,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,491 : 3,462,196 = 3,462,196 : x
  2. Step 2: Convert to fraction form
    1,617,491/3,462,196 = 3,462,196/x
  3. Step 3: Cross multiply
    1,617,491x = 3,462,196 × 3,462,196
  4. Step 4: Simplify right side
    1,617,491x = 11,986,801,142,416
  5. Step 5: Solve for x
    x = 11,986,801,142,416/1,617,491
  6. Step 6: Final answer
    x = 7,410,737.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.