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Finding the Third Proportional to 523,728 and 1,124,964

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Solution

The third proportional to 523,728 and 1,124,964 is: 2,416,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,728 : 1,124,964 = 1,124,964 : x
  2. Step 2: Convert to fraction form
    523,728/1,124,964 = 1,124,964/x
  3. Step 3: Cross multiply
    523,728x = 1,124,964 × 1,124,964
  4. Step 4: Simplify right side
    523,728x = 1,265,544,001,296
  5. Step 5: Solve for x
    x = 1,265,544,001,296/523,728
  6. Step 6: Final answer
    x = 2,416,414.63

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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.