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Finding the Third Proportional to 550,638 and 1,163,484

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Solution

The third proportional to 550,638 and 1,163,484 is: 2,458,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,638 : 1,163,484 = 1,163,484 : x
  2. Step 2: Convert to fraction form
    550,638/1,163,484 = 1,163,484/x
  3. Step 3: Cross multiply
    550,638x = 1,163,484 × 1,163,484
  4. Step 4: Simplify right side
    550,638x = 1,353,695,018,256
  5. Step 5: Solve for x
    x = 1,353,695,018,256/550,638
  6. Step 6: Final answer
    x = 2,458,411.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.