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Finding the Third Proportional to 630,186 and 1,382,825

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Solution

The third proportional to 630,186 and 1,382,825 is: 3,034,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,186 : 1,382,825 = 1,382,825 : x
  2. Step 2: Convert to fraction form
    630,186/1,382,825 = 1,382,825/x
  3. Step 3: Cross multiply
    630,186x = 1,382,825 × 1,382,825
  4. Step 4: Simplify right side
    630,186x = 1,912,204,980,625
  5. Step 5: Solve for x
    x = 1,912,204,980,625/630,186
  6. Step 6: Final answer
    x = 3,034,350.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.