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Finding the Third Proportional to 445,168 and 961,612

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Solution

The third proportional to 445,168 and 961,612 is: 2,077,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,168 : 961,612 = 961,612 : x
  2. Step 2: Convert to fraction form
    445,168/961,612 = 961,612/x
  3. Step 3: Cross multiply
    445,168x = 961,612 × 961,612
  4. Step 4: Simplify right side
    445,168x = 924,697,638,544
  5. Step 5: Solve for x
    x = 924,697,638,544/445,168
  6. Step 6: Final answer
    x = 2,077,188.02

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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.