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Finding the Third Proportional to 1,281,816 and 2,967,324

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Solution

The third proportional to 1,281,816 and 2,967,324 is: 6,869,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,816 : 2,967,324 = 2,967,324 : x
  2. Step 2: Convert to fraction form
    1,281,816/2,967,324 = 2,967,324/x
  3. Step 3: Cross multiply
    1,281,816x = 2,967,324 × 2,967,324
  4. Step 4: Simplify right side
    1,281,816x = 8,805,011,720,976
  5. Step 5: Solve for x
    x = 8,805,011,720,976/1,281,816
  6. Step 6: Final answer
    x = 6,869,169.77

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.