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Finding the Third Proportional to 1,585,241 and 3,533,548

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Solution

The third proportional to 1,585,241 and 3,533,548 is: 7,876,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,241 : 3,533,548 = 3,533,548 : x
  2. Step 2: Convert to fraction form
    1,585,241/3,533,548 = 3,533,548/x
  3. Step 3: Cross multiply
    1,585,241x = 3,533,548 × 3,533,548
  4. Step 4: Simplify right side
    1,585,241x = 12,485,961,468,304
  5. Step 5: Solve for x
    x = 12,485,961,468,304/1,585,241
  6. Step 6: Final answer
    x = 7,876,380.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.