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Finding the Third Proportional to 859,914 and 1,202,715

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Solution

The third proportional to 859,914 and 1,202,715 is: 1,682,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,914 : 1,202,715 = 1,202,715 : x
  2. Step 2: Convert to fraction form
    859,914/1,202,715 = 1,202,715/x
  3. Step 3: Cross multiply
    859,914x = 1,202,715 × 1,202,715
  4. Step 4: Simplify right side
    859,914x = 1,446,523,371,225
  5. Step 5: Solve for x
    x = 1,446,523,371,225/859,914
  6. Step 6: Final answer
    x = 1,682,172.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.