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Finding the Third Proportional to 525,200 and 1,145,456

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Solution

The third proportional to 525,200 and 1,145,456 is: 2,498,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,200 : 1,145,456 = 1,145,456 : x
  2. Step 2: Convert to fraction form
    525,200/1,145,456 = 1,145,456/x
  3. Step 3: Cross multiply
    525,200x = 1,145,456 × 1,145,456
  4. Step 4: Simplify right side
    525,200x = 1,312,069,447,936
  5. Step 5: Solve for x
    x = 1,312,069,447,936/525,200
  6. Step 6: Final answer
    x = 2,498,228.19

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