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Finding the Third Proportional to 2,075,806 and 4,492,782

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Solution

The third proportional to 2,075,806 and 4,492,782 is: 9,723,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,806 : 4,492,782 = 4,492,782 : x
  2. Step 2: Convert to fraction form
    2,075,806/4,492,782 = 4,492,782/x
  3. Step 3: Cross multiply
    2,075,806x = 4,492,782 × 4,492,782
  4. Step 4: Simplify right side
    2,075,806x = 20,185,090,099,524
  5. Step 5: Solve for x
    x = 20,185,090,099,524/2,075,806
  6. Step 6: Final answer
    x = 9,723,977.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.