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Finding the Third Proportional to 1,226,116 and 1,821,674

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Solution

The third proportional to 1,226,116 and 1,821,674 is: 2,706,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,116 : 1,821,674 = 1,821,674 : x
  2. Step 2: Convert to fraction form
    1,226,116/1,821,674 = 1,821,674/x
  3. Step 3: Cross multiply
    1,226,116x = 1,821,674 × 1,821,674
  4. Step 4: Simplify right side
    1,226,116x = 3,318,496,162,276
  5. Step 5: Solve for x
    x = 3,318,496,162,276/1,226,116
  6. Step 6: Final answer
    x = 2,706,510.77

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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.