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Finding the Third Proportional to 448,598 and 980,788

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Solution

The third proportional to 448,598 and 980,788 is: 2,144,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,598 : 980,788 = 980,788 : x
  2. Step 2: Convert to fraction form
    448,598/980,788 = 980,788/x
  3. Step 3: Cross multiply
    448,598x = 980,788 × 980,788
  4. Step 4: Simplify right side
    448,598x = 961,945,100,944
  5. Step 5: Solve for x
    x = 961,945,100,944/448,598
  6. Step 6: Final answer
    x = 2,144,336.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.