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Finding the Third Proportional to 677,184 and 1,444,368

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Solution

The third proportional to 677,184 and 1,444,368 is: 3,080,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,184 : 1,444,368 = 1,444,368 : x
  2. Step 2: Convert to fraction form
    677,184/1,444,368 = 1,444,368/x
  3. Step 3: Cross multiply
    677,184x = 1,444,368 × 1,444,368
  4. Step 4: Simplify right side
    677,184x = 2,086,198,919,424
  5. Step 5: Solve for x
    x = 2,086,198,919,424/677,184
  6. Step 6: Final answer
    x = 3,080,697.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.