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Finding the Third Proportional to 595,872 and 1,361,364

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Solution

The third proportional to 595,872 and 1,361,364 is: 3,110,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,872 : 1,361,364 = 1,361,364 : x
  2. Step 2: Convert to fraction form
    595,872/1,361,364 = 1,361,364/x
  3. Step 3: Cross multiply
    595,872x = 1,361,364 × 1,361,364
  4. Step 4: Simplify right side
    595,872x = 1,853,311,940,496
  5. Step 5: Solve for x
    x = 1,853,311,940,496/595,872
  6. Step 6: Final answer
    x = 3,110,251.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.