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Finding the Third Proportional to 525,120 and 1,152,360

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Solution

The third proportional to 525,120 and 1,152,360 is: 2,528,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,120 : 1,152,360 = 1,152,360 : x
  2. Step 2: Convert to fraction form
    525,120/1,152,360 = 1,152,360/x
  3. Step 3: Cross multiply
    525,120x = 1,152,360 × 1,152,360
  4. Step 4: Simplify right side
    525,120x = 1,327,933,569,600
  5. Step 5: Solve for x
    x = 1,327,933,569,600/525,120
  6. Step 6: Final answer
    x = 2,528,819.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.