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Finding the Third Proportional to 642,023 and 961,030

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Solution

The third proportional to 642,023 and 961,030 is: 1,438,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,023 : 961,030 = 961,030 : x
  2. Step 2: Convert to fraction form
    642,023/961,030 = 961,030/x
  3. Step 3: Cross multiply
    642,023x = 961,030 × 961,030
  4. Step 4: Simplify right side
    642,023x = 923,578,660,900
  5. Step 5: Solve for x
    x = 923,578,660,900/642,023
  6. Step 6: Final answer
    x = 1,438,544.51

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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.