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Finding the Third Proportional to 778,034.50 and 1,183,042

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Solution

The third proportional to 778,034.50 and 1,183,042 is: 1,798,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,034.50 : 1,183,042 = 1,183,042 : x
  2. Step 2: Convert to fraction form
    778,034.50/1,183,042 = 1,183,042/x
  3. Step 3: Cross multiply
    778,034.50x = 1,183,042 × 1,183,042
  4. Step 4: Simplify right side
    778,034.50x = 1,399,588,373,764
  5. Step 5: Solve for x
    x = 1,399,588,373,764/778,034.50
  6. Step 6: Final answer
    x = 1,798,877.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.