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Finding the Third Proportional to 499,304 and 1,092,024

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Solution

The third proportional to 499,304 and 1,092,024 is: 2,388,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,304 : 1,092,024 = 1,092,024 : x
  2. Step 2: Convert to fraction form
    499,304/1,092,024 = 1,092,024/x
  3. Step 3: Cross multiply
    499,304x = 1,092,024 × 1,092,024
  4. Step 4: Simplify right side
    499,304x = 1,192,516,416,576
  5. Step 5: Solve for x
    x = 1,192,516,416,576/499,304
  6. Step 6: Final answer
    x = 2,388,357.43

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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.