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Finding the Third Proportional to 774,678 and 1,671,720

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Solution

The third proportional to 774,678 and 1,671,720 is: 3,607,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,678 : 1,671,720 = 1,671,720 : x
  2. Step 2: Convert to fraction form
    774,678/1,671,720 = 1,671,720/x
  3. Step 3: Cross multiply
    774,678x = 1,671,720 × 1,671,720
  4. Step 4: Simplify right side
    774,678x = 2,794,647,758,400
  5. Step 5: Solve for x
    x = 2,794,647,758,400/774,678
  6. Step 6: Final answer
    x = 3,607,495.96

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Why These Related Problems?

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