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Finding the Third Proportional to 596,824 and 1,163,188

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Solution

The third proportional to 596,824 and 1,163,188 is: 2,267,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,824 : 1,163,188 = 1,163,188 : x
  2. Step 2: Convert to fraction form
    596,824/1,163,188 = 1,163,188/x
  3. Step 3: Cross multiply
    596,824x = 1,163,188 × 1,163,188
  4. Step 4: Simplify right side
    596,824x = 1,353,006,323,344
  5. Step 5: Solve for x
    x = 1,353,006,323,344/596,824
  6. Step 6: Final answer
    x = 2,267,010.58

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.