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Finding the Third Proportional to 3,225,072 and 4,661,952

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Solution

The third proportional to 3,225,072 and 4,661,952 is: 6,739,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225,072 : 4,661,952 = 4,661,952 : x
  2. Step 2: Convert to fraction form
    3,225,072/4,661,952 = 4,661,952/x
  3. Step 3: Cross multiply
    3,225,072x = 4,661,952 × 4,661,952
  4. Step 4: Simplify right side
    3,225,072x = 21,733,796,450,304
  5. Step 5: Solve for x
    x = 21,733,796,450,304/3,225,072
  6. Step 6: Final answer
    x = 6,739,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.