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Finding the Third Proportional to 809,646 and 1,207,908

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Solution

The third proportional to 809,646 and 1,207,908 is: 1,802,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,646 : 1,207,908 = 1,207,908 : x
  2. Step 2: Convert to fraction form
    809,646/1,207,908 = 1,207,908/x
  3. Step 3: Cross multiply
    809,646x = 1,207,908 × 1,207,908
  4. Step 4: Simplify right side
    809,646x = 1,459,041,736,464
  5. Step 5: Solve for x
    x = 1,459,041,736,464/809,646
  6. Step 6: Final answer
    x = 1,802,073.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.