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Finding the Third Proportional to 511,093.13 and 1,115,020.69

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Solution

The third proportional to 511,093.13 and 1,115,020.69 is: 2,432,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,093.13 : 1,115,020.69 = 1,115,020.69 : x
  2. Step 2: Convert to fraction form
    511,093.13/1,115,020.69 = 1,115,020.69/x
  3. Step 3: Cross multiply
    511,093.13x = 1,115,020.69 × 1,115,020.69
  4. Step 4: Simplify right side
    511,093.13x = 1,243,271,133,552.97
  5. Step 5: Solve for x
    x = 1,243,271,133,552.97/511,093.13
  6. Step 6: Final answer
    x = 2,432,572.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.