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Finding the Third Proportional to 1,617,496 and 3,462,206

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Solution

The third proportional to 1,617,496 and 3,462,206 is: 7,410,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,496 : 3,462,206 = 3,462,206 : x
  2. Step 2: Convert to fraction form
    1,617,496/3,462,206 = 3,462,206/x
  3. Step 3: Cross multiply
    1,617,496x = 3,462,206 × 3,462,206
  4. Step 4: Simplify right side
    1,617,496x = 11,986,870,386,436
  5. Step 5: Solve for x
    x = 11,986,870,386,436/1,617,496
  6. Step 6: Final answer
    x = 7,410,757.36

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Why These Related Problems?

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