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Finding the Third Proportional to 448,963 and 976,477

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Solution

The third proportional to 448,963 and 976,477 is: 2,123,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,963 : 976,477 = 976,477 : x
  2. Step 2: Convert to fraction form
    448,963/976,477 = 976,477/x
  3. Step 3: Cross multiply
    448,963x = 976,477 × 976,477
  4. Step 4: Simplify right side
    448,963x = 953,507,331,529
  5. Step 5: Solve for x
    x = 953,507,331,529/448,963
  6. Step 6: Final answer
    x = 2,123,799.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.