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Finding the Third Proportional to 723,470 and 1,571,456

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Solution

The third proportional to 723,470 and 1,571,456 is: 3,413,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,470 : 1,571,456 = 1,571,456 : x
  2. Step 2: Convert to fraction form
    723,470/1,571,456 = 1,571,456/x
  3. Step 3: Cross multiply
    723,470x = 1,571,456 × 1,571,456
  4. Step 4: Simplify right side
    723,470x = 2,469,473,959,936
  5. Step 5: Solve for x
    x = 2,469,473,959,936/723,470
  6. Step 6: Final answer
    x = 3,413,374.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.