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Finding the Third Proportional to 779,796 and 1,178,190

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Solution

The third proportional to 779,796 and 1,178,190 is: 1,780,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,796 : 1,178,190 = 1,178,190 : x
  2. Step 2: Convert to fraction form
    779,796/1,178,190 = 1,178,190/x
  3. Step 3: Cross multiply
    779,796x = 1,178,190 × 1,178,190
  4. Step 4: Simplify right side
    779,796x = 1,388,131,676,100
  5. Step 5: Solve for x
    x = 1,388,131,676,100/779,796
  6. Step 6: Final answer
    x = 1,780,121.57

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Why These Related Problems?

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