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Finding the Third Proportional to 642,026 and 961,035

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Solution

The third proportional to 642,026 and 961,035 is: 1,438,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,026 : 961,035 = 961,035 : x
  2. Step 2: Convert to fraction form
    642,026/961,035 = 961,035/x
  3. Step 3: Cross multiply
    642,026x = 961,035 × 961,035
  4. Step 4: Simplify right side
    642,026x = 923,588,271,225
  5. Step 5: Solve for x
    x = 923,588,271,225/642,026
  6. Step 6: Final answer
    x = 1,438,552.76

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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.