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Finding the Third Proportional to 588,882 and 1,271,022

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Solution

The third proportional to 588,882 and 1,271,022 is: 2,743,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,882 : 1,271,022 = 1,271,022 : x
  2. Step 2: Convert to fraction form
    588,882/1,271,022 = 1,271,022/x
  3. Step 3: Cross multiply
    588,882x = 1,271,022 × 1,271,022
  4. Step 4: Simplify right side
    588,882x = 1,615,496,924,484
  5. Step 5: Solve for x
    x = 1,615,496,924,484/588,882
  6. Step 6: Final answer
    x = 2,743,328.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.