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Finding the Third Proportional to 994,511 and 1,529,523

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Solution

The third proportional to 994,511 and 1,529,523 is: 2,352,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,511 : 1,529,523 = 1,529,523 : x
  2. Step 2: Convert to fraction form
    994,511/1,529,523 = 1,529,523/x
  3. Step 3: Cross multiply
    994,511x = 1,529,523 × 1,529,523
  4. Step 4: Simplify right side
    994,511x = 2,339,440,607,529
  5. Step 5: Solve for x
    x = 2,339,440,607,529/994,511
  6. Step 6: Final answer
    x = 2,352,352.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.