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Finding the Third Proportional to 530,596 and 1,145,218

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Solution

The third proportional to 530,596 and 1,145,218 is: 2,471,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,596 : 1,145,218 = 1,145,218 : x
  2. Step 2: Convert to fraction form
    530,596/1,145,218 = 1,145,218/x
  3. Step 3: Cross multiply
    530,596x = 1,145,218 × 1,145,218
  4. Step 4: Simplify right side
    530,596x = 1,311,524,267,524
  5. Step 5: Solve for x
    x = 1,311,524,267,524/530,596
  6. Step 6: Final answer
    x = 2,471,794.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.