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Finding the Third Proportional to 779,800 and 1,178,196

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Solution

The third proportional to 779,800 and 1,178,196 is: 1,780,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,800 : 1,178,196 = 1,178,196 : x
  2. Step 2: Convert to fraction form
    779,800/1,178,196 = 1,178,196/x
  3. Step 3: Cross multiply
    779,800x = 1,178,196 × 1,178,196
  4. Step 4: Simplify right side
    779,800x = 1,388,145,814,416
  5. Step 5: Solve for x
    x = 1,388,145,814,416/779,800
  6. Step 6: Final answer
    x = 1,780,130.56

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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.