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Finding the Third Proportional to 678,081.38 and 1,051,101.56

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Solution

The third proportional to 678,081.38 and 1,051,101.56 is: 1,629,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,081.38 : 1,051,101.56 = 1,051,101.56 : x
  2. Step 2: Convert to fraction form
    678,081.38/1,051,101.56 = 1,051,101.56/x
  3. Step 3: Cross multiply
    678,081.38x = 1,051,101.56 × 1,051,101.56
  4. Step 4: Simplify right side
    678,081.38x = 1,104,814,494,689.94
  5. Step 5: Solve for x
    x = 1,104,814,494,689.94/678,081.38
  6. Step 6: Final answer
    x = 1,629,324.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.