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Finding the Third Proportional to 596,916 and 1,228,823

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Solution

The third proportional to 596,916 and 1,228,823 is: 2,529,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,916 : 1,228,823 = 1,228,823 : x
  2. Step 2: Convert to fraction form
    596,916/1,228,823 = 1,228,823/x
  3. Step 3: Cross multiply
    596,916x = 1,228,823 × 1,228,823
  4. Step 4: Simplify right side
    596,916x = 1,510,005,965,329
  5. Step 5: Solve for x
    x = 1,510,005,965,329/596,916
  6. Step 6: Final answer
    x = 2,529,679.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.