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Finding the Third Proportional to 733,523 and 1,575,508

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Solution

The third proportional to 733,523 and 1,575,508 is: 3,383,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,523 : 1,575,508 = 1,575,508 : x
  2. Step 2: Convert to fraction form
    733,523/1,575,508 = 1,575,508/x
  3. Step 3: Cross multiply
    733,523x = 1,575,508 × 1,575,508
  4. Step 4: Simplify right side
    733,523x = 2,482,225,458,064
  5. Step 5: Solve for x
    x = 2,482,225,458,064/733,523
  6. Step 6: Final answer
    x = 3,383,977.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.