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Finding the Third Proportional to 517,914 and 1,071,792

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Solution

The third proportional to 517,914 and 1,071,792 is: 2,218,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,914 : 1,071,792 = 1,071,792 : x
  2. Step 2: Convert to fraction form
    517,914/1,071,792 = 1,071,792/x
  3. Step 3: Cross multiply
    517,914x = 1,071,792 × 1,071,792
  4. Step 4: Simplify right side
    517,914x = 1,148,738,091,264
  5. Step 5: Solve for x
    x = 1,148,738,091,264/517,914
  6. Step 6: Final answer
    x = 2,218,009.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.