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Finding the Third Proportional to 642,069 and 961,007

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Solution

The third proportional to 642,069 and 961,007 is: 1,438,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,069 : 961,007 = 961,007 : x
  2. Step 2: Convert to fraction form
    642,069/961,007 = 961,007/x
  3. Step 3: Cross multiply
    642,069x = 961,007 × 961,007
  4. Step 4: Simplify right side
    642,069x = 923,534,454,049
  5. Step 5: Solve for x
    x = 923,534,454,049/642,069
  6. Step 6: Final answer
    x = 1,438,372.60

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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.