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Finding the Third Proportional to 650,916 and 1,333,544

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Solution

The third proportional to 650,916 and 1,333,544 is: 2,732,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,916 : 1,333,544 = 1,333,544 : x
  2. Step 2: Convert to fraction form
    650,916/1,333,544 = 1,333,544/x
  3. Step 3: Cross multiply
    650,916x = 1,333,544 × 1,333,544
  4. Step 4: Simplify right side
    650,916x = 1,778,339,599,936
  5. Step 5: Solve for x
    x = 1,778,339,599,936/650,916
  6. Step 6: Final answer
    x = 2,732,056.98

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.