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Finding the Third Proportional to 771,391.13 and 1,176,665.63

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Solution

The third proportional to 771,391.13 and 1,176,665.63 is: 1,794,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,391.13 : 1,176,665.63 = 1,176,665.63 : x
  2. Step 2: Convert to fraction form
    771,391.13/1,176,665.63 = 1,176,665.63/x
  3. Step 3: Cross multiply
    771,391.13x = 1,176,665.63 × 1,176,665.63
  4. Step 4: Simplify right side
    771,391.13x = 1,384,541,993,056.64
  5. Step 5: Solve for x
    x = 1,384,541,993,056.64/771,391.13
  6. Step 6: Final answer
    x = 1,794,863.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.