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Finding the Third Proportional to 2,960,816 and 6,454,288

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Solution

The third proportional to 2,960,816 and 6,454,288 is: 14,069,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,816 : 6,454,288 = 6,454,288 : x
  2. Step 2: Convert to fraction form
    2,960,816/6,454,288 = 6,454,288/x
  3. Step 3: Cross multiply
    2,960,816x = 6,454,288 × 6,454,288
  4. Step 4: Simplify right side
    2,960,816x = 41,657,833,586,944
  5. Step 5: Solve for x
    x = 41,657,833,586,944/2,960,816
  6. Step 6: Final answer
    x = 14,069,713.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.