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Finding the Third Proportional to 540,324 and 1,250,856

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Solution

The third proportional to 540,324 and 1,250,856 is: 2,895,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,324 : 1,250,856 = 1,250,856 : x
  2. Step 2: Convert to fraction form
    540,324/1,250,856 = 1,250,856/x
  3. Step 3: Cross multiply
    540,324x = 1,250,856 × 1,250,856
  4. Step 4: Simplify right side
    540,324x = 1,564,640,732,736
  5. Step 5: Solve for x
    x = 1,564,640,732,736/540,324
  6. Step 6: Final answer
    x = 2,895,745.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.