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Finding the Third Proportional to 525,168 and 1,145,392

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Solution

The third proportional to 525,168 and 1,145,392 is: 2,498,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,168 : 1,145,392 = 1,145,392 : x
  2. Step 2: Convert to fraction form
    525,168/1,145,392 = 1,145,392/x
  3. Step 3: Cross multiply
    525,168x = 1,145,392 × 1,145,392
  4. Step 4: Simplify right side
    525,168x = 1,311,922,833,664
  5. Step 5: Solve for x
    x = 1,311,922,833,664/525,168
  6. Step 6: Final answer
    x = 2,498,101.24

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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.