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Finding the Third Proportional to 863,514 and 1,295,379

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Solution

The third proportional to 863,514 and 1,295,379 is: 1,943,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,514 : 1,295,379 = 1,295,379 : x
  2. Step 2: Convert to fraction form
    863,514/1,295,379 = 1,295,379/x
  3. Step 3: Cross multiply
    863,514x = 1,295,379 × 1,295,379
  4. Step 4: Simplify right side
    863,514x = 1,678,006,753,641
  5. Step 5: Solve for x
    x = 1,678,006,753,641/863,514
  6. Step 6: Final answer
    x = 1,943,230.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.