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Finding the Third Proportional to 492,398 and 1,071,069

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Solution

The third proportional to 492,398 and 1,071,069 is: 2,329,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,398 : 1,071,069 = 1,071,069 : x
  2. Step 2: Convert to fraction form
    492,398/1,071,069 = 1,071,069/x
  3. Step 3: Cross multiply
    492,398x = 1,071,069 × 1,071,069
  4. Step 4: Simplify right side
    492,398x = 1,147,188,802,761
  5. Step 5: Solve for x
    x = 1,147,188,802,761/492,398
  6. Step 6: Final answer
    x = 2,329,799.88

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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.