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Finding the Third Proportional to 729,804 and 1,603,464

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Solution

The third proportional to 729,804 and 1,603,464 is: 3,522,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,804 : 1,603,464 = 1,603,464 : x
  2. Step 2: Convert to fraction form
    729,804/1,603,464 = 1,603,464/x
  3. Step 3: Cross multiply
    729,804x = 1,603,464 × 1,603,464
  4. Step 4: Simplify right side
    729,804x = 2,571,096,799,296
  5. Step 5: Solve for x
    x = 2,571,096,799,296/729,804
  6. Step 6: Final answer
    x = 3,522,996.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.