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Finding the Third Proportional to 484,834 and 1,055,124

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Solution

The third proportional to 484,834 and 1,055,124 is: 2,296,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,834 : 1,055,124 = 1,055,124 : x
  2. Step 2: Convert to fraction form
    484,834/1,055,124 = 1,055,124/x
  3. Step 3: Cross multiply
    484,834x = 1,055,124 × 1,055,124
  4. Step 4: Simplify right side
    484,834x = 1,113,286,655,376
  5. Step 5: Solve for x
    x = 1,113,286,655,376/484,834
  6. Step 6: Final answer
    x = 2,296,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.