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Finding the Third Proportional to 607,494 and 965,494

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Solution

The third proportional to 607,494 and 965,494 is: 1,534,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,494 : 965,494 = 965,494 : x
  2. Step 2: Convert to fraction form
    607,494/965,494 = 965,494/x
  3. Step 3: Cross multiply
    607,494x = 965,494 × 965,494
  4. Step 4: Simplify right side
    607,494x = 932,178,664,036
  5. Step 5: Solve for x
    x = 932,178,664,036/607,494
  6. Step 6: Final answer
    x = 1,534,465.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.