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Finding the Third Proportional to 594,638 and 1,238,523

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Solution

The third proportional to 594,638 and 1,238,523 is: 2,579,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,638 : 1,238,523 = 1,238,523 : x
  2. Step 2: Convert to fraction form
    594,638/1,238,523 = 1,238,523/x
  3. Step 3: Cross multiply
    594,638x = 1,238,523 × 1,238,523
  4. Step 4: Simplify right side
    594,638x = 1,533,939,221,529
  5. Step 5: Solve for x
    x = 1,533,939,221,529/594,638
  6. Step 6: Final answer
    x = 2,579,618.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.