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Finding the Third Proportional to 509,032 and 1,105,552

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Solution

The third proportional to 509,032 and 1,105,552 is: 2,401,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,032 : 1,105,552 = 1,105,552 : x
  2. Step 2: Convert to fraction form
    509,032/1,105,552 = 1,105,552/x
  3. Step 3: Cross multiply
    509,032x = 1,105,552 × 1,105,552
  4. Step 4: Simplify right side
    509,032x = 1,222,245,224,704
  5. Step 5: Solve for x
    x = 1,222,245,224,704/509,032
  6. Step 6: Final answer
    x = 2,401,116.68

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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.