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Finding the Third Proportional to 494,564 and 1,059,102

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Solution

The third proportional to 494,564 and 1,059,102 is: 2,268,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,564 : 1,059,102 = 1,059,102 : x
  2. Step 2: Convert to fraction form
    494,564/1,059,102 = 1,059,102/x
  3. Step 3: Cross multiply
    494,564x = 1,059,102 × 1,059,102
  4. Step 4: Simplify right side
    494,564x = 1,121,697,046,404
  5. Step 5: Solve for x
    x = 1,121,697,046,404/494,564
  6. Step 6: Final answer
    x = 2,268,052.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.