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Finding the Third Proportional to 809,613 and 1,776,690

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Solution

The third proportional to 809,613 and 1,776,690 is: 3,898,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,613 : 1,776,690 = 1,776,690 : x
  2. Step 2: Convert to fraction form
    809,613/1,776,690 = 1,776,690/x
  3. Step 3: Cross multiply
    809,613x = 1,776,690 × 1,776,690
  4. Step 4: Simplify right side
    809,613x = 3,156,627,356,100
  5. Step 5: Solve for x
    x = 3,156,627,356,100/809,613
  6. Step 6: Final answer
    x = 3,898,933.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.