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Finding the Third Proportional to 785,898 and 1,715,706

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Solution

The third proportional to 785,898 and 1,715,706 is: 3,745,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,898 : 1,715,706 = 1,715,706 : x
  2. Step 2: Convert to fraction form
    785,898/1,715,706 = 1,715,706/x
  3. Step 3: Cross multiply
    785,898x = 1,715,706 × 1,715,706
  4. Step 4: Simplify right side
    785,898x = 2,943,647,078,436
  5. Step 5: Solve for x
    x = 2,943,647,078,436/785,898
  6. Step 6: Final answer
    x = 3,745,584.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.