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Finding the Third Proportional to 729,269 and 1,575,384

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Solution

The third proportional to 729,269 and 1,575,384 is: 3,403,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,269 : 1,575,384 = 1,575,384 : x
  2. Step 2: Convert to fraction form
    729,269/1,575,384 = 1,575,384/x
  3. Step 3: Cross multiply
    729,269x = 1,575,384 × 1,575,384
  4. Step 4: Simplify right side
    729,269x = 2,481,834,747,456
  5. Step 5: Solve for x
    x = 2,481,834,747,456/729,269
  6. Step 6: Final answer
    x = 3,403,181.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.