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Finding the Third Proportional to 785,482 and 1,228,768

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Solution

The third proportional to 785,482 and 1,228,768 is: 1,922,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,482 : 1,228,768 = 1,228,768 : x
  2. Step 2: Convert to fraction form
    785,482/1,228,768 = 1,228,768/x
  3. Step 3: Cross multiply
    785,482x = 1,228,768 × 1,228,768
  4. Step 4: Simplify right side
    785,482x = 1,509,870,797,824
  5. Step 5: Solve for x
    x = 1,509,870,797,824/785,482
  6. Step 6: Final answer
    x = 1,922,222.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.