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Finding the Third Proportional to 509,024 and 1,105,536

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Solution

The third proportional to 509,024 and 1,105,536 is: 2,401,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,024 : 1,105,536 = 1,105,536 : x
  2. Step 2: Convert to fraction form
    509,024/1,105,536 = 1,105,536/x
  3. Step 3: Cross multiply
    509,024x = 1,105,536 × 1,105,536
  4. Step 4: Simplify right side
    509,024x = 1,222,209,847,296
  5. Step 5: Solve for x
    x = 1,222,209,847,296/509,024
  6. Step 6: Final answer
    x = 2,401,084.91

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