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Finding the Third Proportional to 1,370,816 and 2,951,680

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Solution

The third proportional to 1,370,816 and 2,951,680 is: 6,355,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,816 : 2,951,680 = 2,951,680 : x
  2. Step 2: Convert to fraction form
    1,370,816/2,951,680 = 2,951,680/x
  3. Step 3: Cross multiply
    1,370,816x = 2,951,680 × 2,951,680
  4. Step 4: Simplify right side
    1,370,816x = 8,712,414,822,400
  5. Step 5: Solve for x
    x = 8,712,414,822,400/1,370,816
  6. Step 6: Final answer
    x = 6,355,641.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.