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Finding the Third Proportional to 1,943,463 and 4,011,414

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Solution

The third proportional to 1,943,463 and 4,011,414 is: 8,279,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,463 : 4,011,414 = 4,011,414 : x
  2. Step 2: Convert to fraction form
    1,943,463/4,011,414 = 4,011,414/x
  3. Step 3: Cross multiply
    1,943,463x = 4,011,414 × 4,011,414
  4. Step 4: Simplify right side
    1,943,463x = 16,091,442,279,396
  5. Step 5: Solve for x
    x = 16,091,442,279,396/1,943,463
  6. Step 6: Final answer
    x = 8,279,778.05

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.