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Finding the Third Proportional to 501,223 and 1,085,552

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Solution

The third proportional to 501,223 and 1,085,552 is: 2,351,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,223 : 1,085,552 = 1,085,552 : x
  2. Step 2: Convert to fraction form
    501,223/1,085,552 = 1,085,552/x
  3. Step 3: Cross multiply
    501,223x = 1,085,552 × 1,085,552
  4. Step 4: Simplify right side
    501,223x = 1,178,423,144,704
  5. Step 5: Solve for x
    x = 1,178,423,144,704/501,223
  6. Step 6: Final answer
    x = 2,351,095.51

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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.