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Finding the Third Proportional to 448,636 and 963,044

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Solution

The third proportional to 448,636 and 963,044 is: 2,067,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,636 : 963,044 = 963,044 : x
  2. Step 2: Convert to fraction form
    448,636/963,044 = 963,044/x
  3. Step 3: Cross multiply
    448,636x = 963,044 × 963,044
  4. Step 4: Simplify right side
    448,636x = 927,453,745,936
  5. Step 5: Solve for x
    x = 927,453,745,936/448,636
  6. Step 6: Final answer
    x = 2,067,274.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.