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Finding the Third Proportional to 446,250 and 980,664

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Solution

The third proportional to 446,250 and 980,664 is: 2,155,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,250 : 980,664 = 980,664 : x
  2. Step 2: Convert to fraction form
    446,250/980,664 = 980,664/x
  3. Step 3: Cross multiply
    446,250x = 980,664 × 980,664
  4. Step 4: Simplify right side
    446,250x = 961,701,880,896
  5. Step 5: Solve for x
    x = 961,701,880,896/446,250
  6. Step 6: Final answer
    x = 2,155,074.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.