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Finding the Third Proportional to 711,180 and 1,678,806

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Solution

The third proportional to 711,180 and 1,678,806 is: 3,962,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,180 : 1,678,806 = 1,678,806 : x
  2. Step 2: Convert to fraction form
    711,180/1,678,806 = 1,678,806/x
  3. Step 3: Cross multiply
    711,180x = 1,678,806 × 1,678,806
  4. Step 4: Simplify right side
    711,180x = 2,818,389,585,636
  5. Step 5: Solve for x
    x = 2,818,389,585,636/711,180
  6. Step 6: Final answer
    x = 3,962,976.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.