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Finding the Third Proportional to 511,624 and 1,085,592

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Solution

The third proportional to 511,624 and 1,085,592 is: 2,303,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,624 : 1,085,592 = 1,085,592 : x
  2. Step 2: Convert to fraction form
    511,624/1,085,592 = 1,085,592/x
  3. Step 3: Cross multiply
    511,624x = 1,085,592 × 1,085,592
  4. Step 4: Simplify right side
    511,624x = 1,178,509,990,464
  5. Step 5: Solve for x
    x = 1,178,509,990,464/511,624
  6. Step 6: Final answer
    x = 2,303,468.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.