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Finding the Third Proportional to 517,088 and 1,081,024

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Solution

The third proportional to 517,088 and 1,081,024 is: 2,259,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,088 : 1,081,024 = 1,081,024 : x
  2. Step 2: Convert to fraction form
    517,088/1,081,024 = 1,081,024/x
  3. Step 3: Cross multiply
    517,088x = 1,081,024 × 1,081,024
  4. Step 4: Simplify right side
    517,088x = 1,168,612,888,576
  5. Step 5: Solve for x
    x = 1,168,612,888,576/517,088
  6. Step 6: Final answer
    x = 2,259,988.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.