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Finding the Third Proportional to 712,697 and 1,536,795

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Solution

The third proportional to 712,697 and 1,536,795 is: 3,313,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,697 : 1,536,795 = 1,536,795 : x
  2. Step 2: Convert to fraction form
    712,697/1,536,795 = 1,536,795/x
  3. Step 3: Cross multiply
    712,697x = 1,536,795 × 1,536,795
  4. Step 4: Simplify right side
    712,697x = 2,361,738,872,025
  5. Step 5: Solve for x
    x = 2,361,738,872,025/712,697
  6. Step 6: Final answer
    x = 3,313,804.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.