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Finding the Third Proportional to 1,268,730 and 2,960,470

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Solution

The third proportional to 1,268,730 and 2,960,470 is: 6,907,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,730 : 2,960,470 = 2,960,470 : x
  2. Step 2: Convert to fraction form
    1,268,730/2,960,470 = 2,960,470/x
  3. Step 3: Cross multiply
    1,268,730x = 2,960,470 × 2,960,470
  4. Step 4: Simplify right side
    1,268,730x = 8,764,382,620,900
  5. Step 5: Solve for x
    x = 8,764,382,620,900/1,268,730
  6. Step 6: Final answer
    x = 6,907,996.67

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.