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Finding the Third Proportional to 2,047,658 and 4,443,378

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Solution

The third proportional to 2,047,658 and 4,443,378 is: 9,642,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,658 : 4,443,378 = 4,443,378 : x
  2. Step 2: Convert to fraction form
    2,047,658/4,443,378 = 4,443,378/x
  3. Step 3: Cross multiply
    2,047,658x = 4,443,378 × 4,443,378
  4. Step 4: Simplify right side
    2,047,658x = 19,743,608,050,884
  5. Step 5: Solve for x
    x = 19,743,608,050,884/2,047,658
  6. Step 6: Final answer
    x = 9,642,043.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.