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Finding the Third Proportional to 509,030 and 1,105,548

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Solution

The third proportional to 509,030 and 1,105,548 is: 2,401,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,030 : 1,105,548 = 1,105,548 : x
  2. Step 2: Convert to fraction form
    509,030/1,105,548 = 1,105,548/x
  3. Step 3: Cross multiply
    509,030x = 1,105,548 × 1,105,548
  4. Step 4: Simplify right side
    509,030x = 1,222,236,380,304
  5. Step 5: Solve for x
    x = 1,222,236,380,304/509,030
  6. Step 6: Final answer
    x = 2,401,108.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.