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Finding the Third Proportional to 559,184 and 1,216,672

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Solution

The third proportional to 559,184 and 1,216,672 is: 2,647,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,184 : 1,216,672 = 1,216,672 : x
  2. Step 2: Convert to fraction form
    559,184/1,216,672 = 1,216,672/x
  3. Step 3: Cross multiply
    559,184x = 1,216,672 × 1,216,672
  4. Step 4: Simplify right side
    559,184x = 1,480,290,755,584
  5. Step 5: Solve for x
    x = 1,480,290,755,584/559,184
  6. Step 6: Final answer
    x = 2,647,233.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.