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Finding the Third Proportional to 762,427 and 1,603,481

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Solution

The third proportional to 762,427 and 1,603,481 is: 3,372,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,427 : 1,603,481 = 1,603,481 : x
  2. Step 2: Convert to fraction form
    762,427/1,603,481 = 1,603,481/x
  3. Step 3: Cross multiply
    762,427x = 1,603,481 × 1,603,481
  4. Step 4: Simplify right side
    762,427x = 2,571,151,317,361
  5. Step 5: Solve for x
    x = 2,571,151,317,361/762,427
  6. Step 6: Final answer
    x = 3,372,324.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.