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Finding the Third Proportional to 915,678 and 1,400,742

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Solution

The third proportional to 915,678 and 1,400,742 is: 2,142,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,678 : 1,400,742 = 1,400,742 : x
  2. Step 2: Convert to fraction form
    915,678/1,400,742 = 1,400,742/x
  3. Step 3: Cross multiply
    915,678x = 1,400,742 × 1,400,742
  4. Step 4: Simplify right side
    915,678x = 1,962,078,150,564
  5. Step 5: Solve for x
    x = 1,962,078,150,564/915,678
  6. Step 6: Final answer
    x = 2,142,759.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.