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Finding the Third Proportional to 448,848 and 983,529

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Solution

The third proportional to 448,848 and 983,529 is: 2,155,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,848 : 983,529 = 983,529 : x
  2. Step 2: Convert to fraction form
    448,848/983,529 = 983,529/x
  3. Step 3: Cross multiply
    448,848x = 983,529 × 983,529
  4. Step 4: Simplify right side
    448,848x = 967,329,293,841
  5. Step 5: Solve for x
    x = 967,329,293,841/448,848
  6. Step 6: Final answer
    x = 2,155,137.81

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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.