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Finding the Third Proportional to 873,933 and 1,329,144

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Solution

The third proportional to 873,933 and 1,329,144 is: 2,021,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,933 : 1,329,144 = 1,329,144 : x
  2. Step 2: Convert to fraction form
    873,933/1,329,144 = 1,329,144/x
  3. Step 3: Cross multiply
    873,933x = 1,329,144 × 1,329,144
  4. Step 4: Simplify right side
    873,933x = 1,766,623,772,736
  5. Step 5: Solve for x
    x = 1,766,623,772,736/873,933
  6. Step 6: Final answer
    x = 2,021,463.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.