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Finding the Third Proportional to 1,962,854 and 4,226,378

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Solution

The third proportional to 1,962,854 and 4,226,378 is: 9,100,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,854 : 4,226,378 = 4,226,378 : x
  2. Step 2: Convert to fraction form
    1,962,854/4,226,378 = 4,226,378/x
  3. Step 3: Cross multiply
    1,962,854x = 4,226,378 × 4,226,378
  4. Step 4: Simplify right side
    1,962,854x = 17,862,270,998,884
  5. Step 5: Solve for x
    x = 17,862,270,998,884/1,962,854
  6. Step 6: Final answer
    x = 9,100,152.63

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Why These Related Problems?

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