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Finding the Third Proportional to 479,411 and 1,065,238

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Solution

The third proportional to 479,411 and 1,065,238 is: 2,366,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,411 : 1,065,238 = 1,065,238 : x
  2. Step 2: Convert to fraction form
    479,411/1,065,238 = 1,065,238/x
  3. Step 3: Cross multiply
    479,411x = 1,065,238 × 1,065,238
  4. Step 4: Simplify right side
    479,411x = 1,134,731,996,644
  5. Step 5: Solve for x
    x = 1,134,731,996,644/479,411
  6. Step 6: Final answer
    x = 2,366,929.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.