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Finding the Third Proportional to 543,542 and 1,152,856

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Solution

The third proportional to 543,542 and 1,152,856 is: 2,445,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,542 : 1,152,856 = 1,152,856 : x
  2. Step 2: Convert to fraction form
    543,542/1,152,856 = 1,152,856/x
  3. Step 3: Cross multiply
    543,542x = 1,152,856 × 1,152,856
  4. Step 4: Simplify right side
    543,542x = 1,329,076,956,736
  5. Step 5: Solve for x
    x = 1,329,076,956,736/543,542
  6. Step 6: Final answer
    x = 2,445,214.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.