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Finding the Third Proportional to 673,824 and 1,459,689

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Solution

The third proportional to 673,824 and 1,459,689 is: 3,162,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,824 : 1,459,689 = 1,459,689 : x
  2. Step 2: Convert to fraction form
    673,824/1,459,689 = 1,459,689/x
  3. Step 3: Cross multiply
    673,824x = 1,459,689 × 1,459,689
  4. Step 4: Simplify right side
    673,824x = 2,130,691,976,721
  5. Step 5: Solve for x
    x = 2,130,691,976,721/673,824
  6. Step 6: Final answer
    x = 3,162,089.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.