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Finding the Third Proportional to 536,843 and 1,157,747

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Solution

The third proportional to 536,843 and 1,157,747 is: 2,496,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,843 : 1,157,747 = 1,157,747 : x
  2. Step 2: Convert to fraction form
    536,843/1,157,747 = 1,157,747/x
  3. Step 3: Cross multiply
    536,843x = 1,157,747 × 1,157,747
  4. Step 4: Simplify right side
    536,843x = 1,340,378,116,009
  5. Step 5: Solve for x
    x = 1,340,378,116,009/536,843
  6. Step 6: Final answer
    x = 2,496,778.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.