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Finding the Third Proportional to 579,534 and 1,221,996

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Solution

The third proportional to 579,534 and 1,221,996 is: 2,576,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,534 : 1,221,996 = 1,221,996 : x
  2. Step 2: Convert to fraction form
    579,534/1,221,996 = 1,221,996/x
  3. Step 3: Cross multiply
    579,534x = 1,221,996 × 1,221,996
  4. Step 4: Simplify right side
    579,534x = 1,493,274,224,016
  5. Step 5: Solve for x
    x = 1,493,274,224,016/579,534
  6. Step 6: Final answer
    x = 2,576,680.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.