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Finding the Third Proportional to 727,596 and 1,571,064

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Solution

The third proportional to 727,596 and 1,571,064 is: 3,392,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,596 : 1,571,064 = 1,571,064 : x
  2. Step 2: Convert to fraction form
    727,596/1,571,064 = 1,571,064/x
  3. Step 3: Cross multiply
    727,596x = 1,571,064 × 1,571,064
  4. Step 4: Simplify right side
    727,596x = 2,468,242,092,096
  5. Step 5: Solve for x
    x = 2,468,242,092,096/727,596
  6. Step 6: Final answer
    x = 3,392,324.99

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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.