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Finding the Third Proportional to 819,216 and 1,731,888

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Solution

The third proportional to 819,216 and 1,731,888 is: 3,661,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,216 : 1,731,888 = 1,731,888 : x
  2. Step 2: Convert to fraction form
    819,216/1,731,888 = 1,731,888/x
  3. Step 3: Cross multiply
    819,216x = 1,731,888 × 1,731,888
  4. Step 4: Simplify right side
    819,216x = 2,999,436,044,544
  5. Step 5: Solve for x
    x = 2,999,436,044,544/819,216
  6. Step 6: Final answer
    x = 3,661,349.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.