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Finding the Third Proportional to 1,152,824 and 1,841,662

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Solution

The third proportional to 1,152,824 and 1,841,662 is: 2,942,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,824 : 1,841,662 = 1,841,662 : x
  2. Step 2: Convert to fraction form
    1,152,824/1,841,662 = 1,841,662/x
  3. Step 3: Cross multiply
    1,152,824x = 1,841,662 × 1,841,662
  4. Step 4: Simplify right side
    1,152,824x = 3,391,718,922,244
  5. Step 5: Solve for x
    x = 3,391,718,922,244/1,152,824
  6. Step 6: Final answer
    x = 2,942,096.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.