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Finding the Third Proportional to 463,000 and 938,870

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Solution

The third proportional to 463,000 and 938,870 is: 1,903,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,000 : 938,870 = 938,870 : x
  2. Step 2: Convert to fraction form
    463,000/938,870 = 938,870/x
  3. Step 3: Cross multiply
    463,000x = 938,870 × 938,870
  4. Step 4: Simplify right side
    463,000x = 881,476,876,900
  5. Step 5: Solve for x
    x = 881,476,876,900/463,000
  6. Step 6: Final answer
    x = 1,903,837.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.