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Finding the Third Proportional to 746,396 and 1,123,338

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Solution

The third proportional to 746,396 and 1,123,338 is: 1,690,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,396 : 1,123,338 = 1,123,338 : x
  2. Step 2: Convert to fraction form
    746,396/1,123,338 = 1,123,338/x
  3. Step 3: Cross multiply
    746,396x = 1,123,338 × 1,123,338
  4. Step 4: Simplify right side
    746,396x = 1,261,888,262,244
  5. Step 5: Solve for x
    x = 1,261,888,262,244/746,396
  6. Step 6: Final answer
    x = 1,690,641.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.