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Finding the Third Proportional to 636,644 and 1,372,912

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Solution

The third proportional to 636,644 and 1,372,912 is: 2,960,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,644 : 1,372,912 = 1,372,912 : x
  2. Step 2: Convert to fraction form
    636,644/1,372,912 = 1,372,912/x
  3. Step 3: Cross multiply
    636,644x = 1,372,912 × 1,372,912
  4. Step 4: Simplify right side
    636,644x = 1,884,887,359,744
  5. Step 5: Solve for x
    x = 1,884,887,359,744/636,644
  6. Step 6: Final answer
    x = 2,960,661.47

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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.