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Finding the Third Proportional to 535,578 and 1,110,522

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Solution

The third proportional to 535,578 and 1,110,522 is: 2,302,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,578 : 1,110,522 = 1,110,522 : x
  2. Step 2: Convert to fraction form
    535,578/1,110,522 = 1,110,522/x
  3. Step 3: Cross multiply
    535,578x = 1,110,522 × 1,110,522
  4. Step 4: Simplify right side
    535,578x = 1,233,259,112,484
  5. Step 5: Solve for x
    x = 1,233,259,112,484/535,578
  6. Step 6: Final answer
    x = 2,302,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.