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Finding the Third Proportional to 525,166 and 1,145,388

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Solution

The third proportional to 525,166 and 1,145,388 is: 2,498,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,166 : 1,145,388 = 1,145,388 : x
  2. Step 2: Convert to fraction form
    525,166/1,145,388 = 1,145,388/x
  3. Step 3: Cross multiply
    525,166x = 1,145,388 × 1,145,388
  4. Step 4: Simplify right side
    525,166x = 1,311,913,670,544
  5. Step 5: Solve for x
    x = 1,311,913,670,544/525,166
  6. Step 6: Final answer
    x = 2,498,093.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.