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Finding the Third Proportional to 525,636 and 1,121,160

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Solution

The third proportional to 525,636 and 1,121,160 is: 2,391,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,636 : 1,121,160 = 1,121,160 : x
  2. Step 2: Convert to fraction form
    525,636/1,121,160 = 1,121,160/x
  3. Step 3: Cross multiply
    525,636x = 1,121,160 × 1,121,160
  4. Step 4: Simplify right side
    525,636x = 1,256,999,745,600
  5. Step 5: Solve for x
    x = 1,256,999,745,600/525,636
  6. Step 6: Final answer
    x = 2,391,388.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.