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Finding the Third Proportional to 739,872 and 1,616,706

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Solution

The third proportional to 739,872 and 1,616,706 is: 3,532,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,872 : 1,616,706 = 1,616,706 : x
  2. Step 2: Convert to fraction form
    739,872/1,616,706 = 1,616,706/x
  3. Step 3: Cross multiply
    739,872x = 1,616,706 × 1,616,706
  4. Step 4: Simplify right side
    739,872x = 2,613,738,290,436
  5. Step 5: Solve for x
    x = 2,613,738,290,436/739,872
  6. Step 6: Final answer
    x = 3,532,689.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.