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Finding the Third Proportional to 2,097,713 and 4,576,354

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Solution

The third proportional to 2,097,713 and 4,576,354 is: 9,983,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,713 : 4,576,354 = 4,576,354 : x
  2. Step 2: Convert to fraction form
    2,097,713/4,576,354 = 4,576,354/x
  3. Step 3: Cross multiply
    2,097,713x = 4,576,354 × 4,576,354
  4. Step 4: Simplify right side
    2,097,713x = 20,943,015,933,316
  5. Step 5: Solve for x
    x = 20,943,015,933,316/2,097,713
  6. Step 6: Final answer
    x = 9,983,737.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.