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Finding the Third Proportional to 509,225 and 1,116,379

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Solution

The third proportional to 509,225 and 1,116,379 is: 2,447,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,225 : 1,116,379 = 1,116,379 : x
  2. Step 2: Convert to fraction form
    509,225/1,116,379 = 1,116,379/x
  3. Step 3: Cross multiply
    509,225x = 1,116,379 × 1,116,379
  4. Step 4: Simplify right side
    509,225x = 1,246,302,071,641
  5. Step 5: Solve for x
    x = 1,246,302,071,641/509,225
  6. Step 6: Final answer
    x = 2,447,448.71

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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.