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Finding the Third Proportional to 678,093.75 and 1,025,919

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Solution

The third proportional to 678,093.75 and 1,025,919 is: 1,552,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,093.75 : 1,025,919 = 1,025,919 : x
  2. Step 2: Convert to fraction form
    678,093.75/1,025,919 = 1,025,919/x
  3. Step 3: Cross multiply
    678,093.75x = 1,025,919 × 1,025,919
  4. Step 4: Simplify right side
    678,093.75x = 1,052,509,794,561
  5. Step 5: Solve for x
    x = 1,052,509,794,561/678,093.75
  6. Step 6: Final answer
    x = 1,552,159.70

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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.