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Finding the Third Proportional to 623,766 and 965,457

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Solution

The third proportional to 623,766 and 965,457 is: 1,494,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,766 : 965,457 = 965,457 : x
  2. Step 2: Convert to fraction form
    623,766/965,457 = 965,457/x
  3. Step 3: Cross multiply
    623,766x = 965,457 × 965,457
  4. Step 4: Simplify right side
    623,766x = 932,107,218,849
  5. Step 5: Solve for x
    x = 932,107,218,849/623,766
  6. Step 6: Final answer
    x = 1,494,321.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.