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Finding the Third Proportional to 798,560 and 1,196,608

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Solution

The third proportional to 798,560 and 1,196,608 is: 1,793,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,560 : 1,196,608 = 1,196,608 : x
  2. Step 2: Convert to fraction form
    798,560/1,196,608 = 1,196,608/x
  3. Step 3: Cross multiply
    798,560x = 1,196,608 × 1,196,608
  4. Step 4: Simplify right side
    798,560x = 1,431,870,705,664
  5. Step 5: Solve for x
    x = 1,431,870,705,664/798,560
  6. Step 6: Final answer
    x = 1,793,065.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.