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Finding the Third Proportional to 641,406 and 1,384,506

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Solution

The third proportional to 641,406 and 1,384,506 is: 2,988,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,406 : 1,384,506 = 1,384,506 : x
  2. Step 2: Convert to fraction form
    641,406/1,384,506 = 1,384,506/x
  3. Step 3: Cross multiply
    641,406x = 1,384,506 × 1,384,506
  4. Step 4: Simplify right side
    641,406x = 1,916,856,864,036
  5. Step 5: Solve for x
    x = 1,916,856,864,036/641,406
  6. Step 6: Final answer
    x = 2,988,523.44

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Why These Related Problems?

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