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Finding the Third Proportional to 385,874 and 827,122

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Solution

The third proportional to 385,874 and 827,122 is: 1,772,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,874 : 827,122 = 827,122 : x
  2. Step 2: Convert to fraction form
    385,874/827,122 = 827,122/x
  3. Step 3: Cross multiply
    385,874x = 827,122 × 827,122
  4. Step 4: Simplify right side
    385,874x = 684,130,802,884
  5. Step 5: Solve for x
    x = 684,130,802,884/385,874
  6. Step 6: Final answer
    x = 1,772,938.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.