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Finding the Third Proportional to 809,124 and 1,165,518

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Solution

The third proportional to 809,124 and 1,165,518 is: 1,678,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,124 : 1,165,518 = 1,165,518 : x
  2. Step 2: Convert to fraction form
    809,124/1,165,518 = 1,165,518/x
  3. Step 3: Cross multiply
    809,124x = 1,165,518 × 1,165,518
  4. Step 4: Simplify right side
    809,124x = 1,358,432,208,324
  5. Step 5: Solve for x
    x = 1,358,432,208,324/809,124
  6. Step 6: Final answer
    x = 1,678,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.