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Finding the Third Proportional to 677,286 and 922,495

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Solution

The third proportional to 677,286 and 922,495 is: 1,256,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,286 : 922,495 = 922,495 : x
  2. Step 2: Convert to fraction form
    677,286/922,495 = 922,495/x
  3. Step 3: Cross multiply
    677,286x = 922,495 × 922,495
  4. Step 4: Simplify right side
    677,286x = 850,997,025,025
  5. Step 5: Solve for x
    x = 850,997,025,025/677,286
  6. Step 6: Final answer
    x = 1,256,481.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.