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Finding the Third Proportional to 1,966,758 and 2,968,119

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Solution

The third proportional to 1,966,758 and 2,968,119 is: 4,479,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,758 : 2,968,119 = 2,968,119 : x
  2. Step 2: Convert to fraction form
    1,966,758/2,968,119 = 2,968,119/x
  3. Step 3: Cross multiply
    1,966,758x = 2,968,119 × 2,968,119
  4. Step 4: Simplify right side
    1,966,758x = 8,809,730,398,161
  5. Step 5: Solve for x
    x = 8,809,730,398,161/1,966,758
  6. Step 6: Final answer
    x = 4,479,315.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.