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Finding the Third Proportional to 531,180 and 1,145,304

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Solution

The third proportional to 531,180 and 1,145,304 is: 2,469,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,180 : 1,145,304 = 1,145,304 : x
  2. Step 2: Convert to fraction form
    531,180/1,145,304 = 1,145,304/x
  3. Step 3: Cross multiply
    531,180x = 1,145,304 × 1,145,304
  4. Step 4: Simplify right side
    531,180x = 1,311,721,252,416
  5. Step 5: Solve for x
    x = 1,311,721,252,416/531,180
  6. Step 6: Final answer
    x = 2,469,447.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.