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Finding the Third Proportional to 642,604 and 961,962

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Solution

The third proportional to 642,604 and 961,962 is: 1,440,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,604 : 961,962 = 961,962 : x
  2. Step 2: Convert to fraction form
    642,604/961,962 = 961,962/x
  3. Step 3: Cross multiply
    642,604x = 961,962 × 961,962
  4. Step 4: Simplify right side
    642,604x = 925,370,889,444
  5. Step 5: Solve for x
    x = 925,370,889,444/642,604
  6. Step 6: Final answer
    x = 1,440,032.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.