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Finding the Third Proportional to 628,914 and 967,842

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Solution

The third proportional to 628,914 and 967,842 is: 1,489,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,914 : 967,842 = 967,842 : x
  2. Step 2: Convert to fraction form
    628,914/967,842 = 967,842/x
  3. Step 3: Cross multiply
    628,914x = 967,842 × 967,842
  4. Step 4: Simplify right side
    628,914x = 936,718,136,964
  5. Step 5: Solve for x
    x = 936,718,136,964/628,914
  6. Step 6: Final answer
    x = 1,489,421.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.