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Finding the Third Proportional to 632,008 and 1,352,588

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Solution

The third proportional to 632,008 and 1,352,588 is: 2,894,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,008 : 1,352,588 = 1,352,588 : x
  2. Step 2: Convert to fraction form
    632,008/1,352,588 = 1,352,588/x
  3. Step 3: Cross multiply
    632,008x = 1,352,588 × 1,352,588
  4. Step 4: Simplify right side
    632,008x = 1,829,494,297,744
  5. Step 5: Solve for x
    x = 1,829,494,297,744/632,008
  6. Step 6: Final answer
    x = 2,894,732.82

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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.