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Finding the Third Proportional to 525,190 and 1,145,434

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Solution

The third proportional to 525,190 and 1,145,434 is: 2,498,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,190 : 1,145,434 = 1,145,434 : x
  2. Step 2: Convert to fraction form
    525,190/1,145,434 = 1,145,434/x
  3. Step 3: Cross multiply
    525,190x = 1,145,434 × 1,145,434
  4. Step 4: Simplify right side
    525,190x = 1,312,019,048,356
  5. Step 5: Solve for x
    x = 1,312,019,048,356/525,190
  6. Step 6: Final answer
    x = 2,498,179.80

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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.