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Finding the Third Proportional to 809,619 and 1,776,702

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Solution

The third proportional to 809,619 and 1,776,702 is: 3,898,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,619 : 1,776,702 = 1,776,702 : x
  2. Step 2: Convert to fraction form
    809,619/1,776,702 = 1,776,702/x
  3. Step 3: Cross multiply
    809,619x = 1,776,702 × 1,776,702
  4. Step 4: Simplify right side
    809,619x = 3,156,669,996,804
  5. Step 5: Solve for x
    x = 3,156,669,996,804/809,619
  6. Step 6: Final answer
    x = 3,898,957.41

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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.