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Finding the Third Proportional to 641,088 and 961,728

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Solution

The third proportional to 641,088 and 961,728 is: 1,442,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,088 : 961,728 = 961,728 : x
  2. Step 2: Convert to fraction form
    641,088/961,728 = 961,728/x
  3. Step 3: Cross multiply
    641,088x = 961,728 × 961,728
  4. Step 4: Simplify right side
    641,088x = 924,920,745,984
  5. Step 5: Solve for x
    x = 924,920,745,984/641,088
  6. Step 6: Final answer
    x = 1,442,736.01

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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.