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Finding the Third Proportional to 642,026 and 961,034

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Solution

The third proportional to 642,026 and 961,034 is: 1,438,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,026 : 961,034 = 961,034 : x
  2. Step 2: Convert to fraction form
    642,026/961,034 = 961,034/x
  3. Step 3: Cross multiply
    642,026x = 961,034 × 961,034
  4. Step 4: Simplify right side
    642,026x = 923,586,349,156
  5. Step 5: Solve for x
    x = 923,586,349,156/642,026
  6. Step 6: Final answer
    x = 1,438,549.76

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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.