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Finding the Third Proportional to 448,603 and 980,798

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Solution

The third proportional to 448,603 and 980,798 is: 2,144,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,603 : 980,798 = 980,798 : x
  2. Step 2: Convert to fraction form
    448,603/980,798 = 980,798/x
  3. Step 3: Cross multiply
    448,603x = 980,798 × 980,798
  4. Step 4: Simplify right side
    448,603x = 961,964,716,804
  5. Step 5: Solve for x
    x = 961,964,716,804/448,603
  6. Step 6: Final answer
    x = 2,144,356.41

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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.