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Finding the Third Proportional to 525,764 and 1,148,824

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Solution

The third proportional to 525,764 and 1,148,824 is: 2,510,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,764 : 1,148,824 = 1,148,824 : x
  2. Step 2: Convert to fraction form
    525,764/1,148,824 = 1,148,824/x
  3. Step 3: Cross multiply
    525,764x = 1,148,824 × 1,148,824
  4. Step 4: Simplify right side
    525,764x = 1,319,796,582,976
  5. Step 5: Solve for x
    x = 1,319,796,582,976/525,764
  6. Step 6: Final answer
    x = 2,510,245.25

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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.