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Finding the Third Proportional to 1,632,440 and 3,462,496

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Solution

The third proportional to 1,632,440 and 3,462,496 is: 7,344,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,440 : 3,462,496 = 3,462,496 : x
  2. Step 2: Convert to fraction form
    1,632,440/3,462,496 = 3,462,496/x
  3. Step 3: Cross multiply
    1,632,440x = 3,462,496 × 3,462,496
  4. Step 4: Simplify right side
    1,632,440x = 11,988,878,550,016
  5. Step 5: Solve for x
    x = 11,988,878,550,016/1,632,440
  6. Step 6: Final answer
    x = 7,344,146.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.