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Finding the Third Proportional to 446,756 and 963,488

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Solution

The third proportional to 446,756 and 963,488 is: 2,077,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,756 : 963,488 = 963,488 : x
  2. Step 2: Convert to fraction form
    446,756/963,488 = 963,488/x
  3. Step 3: Cross multiply
    446,756x = 963,488 × 963,488
  4. Step 4: Simplify right side
    446,756x = 928,309,126,144
  5. Step 5: Solve for x
    x = 928,309,126,144/446,756
  6. Step 6: Final answer
    x = 2,077,888.44

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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.