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Finding the Third Proportional to 517,382 and 1,125,892

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Solution

The third proportional to 517,382 and 1,125,892 is: 2,450,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,382 : 1,125,892 = 1,125,892 : x
  2. Step 2: Convert to fraction form
    517,382/1,125,892 = 1,125,892/x
  3. Step 3: Cross multiply
    517,382x = 1,125,892 × 1,125,892
  4. Step 4: Simplify right side
    517,382x = 1,267,632,795,664
  5. Step 5: Solve for x
    x = 1,267,632,795,664/517,382
  6. Step 6: Final answer
    x = 2,450,090.64

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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.